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{b) Last month, Nicole had $83 352 in sales. Her pay before deductions \par
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{Irene is choosing which site to download music from. \par
}\plain \f0
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\ql{Site 1 charges $14.99 per month and $0.35 per song. \par
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{Site 2 charges $9.95 per month and $0.75 per song. \par
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{Compare the cost of the two sites using a table and a graph. \par
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{Which site should she choose?}\plain \f0
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{\par
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{\tab }\plain \f0
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{48.}{\tab }\plain \f0
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{Sonja drove at 100 km/h from Owen Sound to Thorold. \par
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\ql{She left Owen Sound at 10:20 a.m., with 43 L of gas in the tank. \par
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{The low fuel warning light came on when 15 L of gas was left in the tank. \par
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{If Sonja\'92
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}\plain \f0
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{estimate when the warning light came on. Explain your thinking.}\plain \f0
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{\par
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{49.}{\tab }\plain \f0
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}\plain \f0
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\ql{as well as a $25 delivery fee. \par
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{a) Determine the greatest area that Patrick can pave for $2900.\par
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{b) Patrick needs to include 5 cubic yards of sand, costing $11 per cubic yard, \par
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{to the total cost of the project. How much will this added cost reduce the area \par
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{that he can pave with his $2900 budget?}\plain \f0
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{\par
}\plain \f0
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{\tab }\plain \f0
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{50.}{\tab }\plain \f0
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{At 11:00 a.m., Carol starts jogging north at 5 km/h from the south end of a 25 k
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\ql{At the same time, Sarah begins cycling south at 20 km/h from the north end of th
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{Use a graph to determine when they will meet.}\plain \f0
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{\par
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{Jennifer is considering two job offers from shoe stores. \par
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\ql{Walk This Way offers $1350/month plus 2.5% commission. \par
}\plain \f0
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{Petite Shoe offers $1000/month plus 3.5% commission.\par
}\plain \f0
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{a) Create a linear system by writing an equation for each salary.\par
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{b) What value of sales would result in the same total salary for both jobs?\par
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{c) Which job should Jennifer take? Explain your answer.}\plain \f0
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{\par
}\plain \f0
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{\par
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{52.}{\tab }\plain \f0
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{Harold wants to use a few pieces of silver to make a bracelet. \par
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\ql{Some of the jewellery is 70% silver, and the rest is 58% silver. \par
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{Harold needs 26.00 g of 65% silver for the bracelet. \par
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{How much of each alloy should he use?}\plain \f0
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{\par
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{\tab }\plain \f0
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{53.}{\tab }\plain \f0
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{Andrea has been offered a sales job at High Tech and a sales job at Best Compute
rs.\par
}\plain \f0
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\pard
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\ql{Which offer should Andrea accept? Explain.\par
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{\par
}\plain \f0
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{High Tech: $600 per week plus 4.5% commission\par
}\plain \f0
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\cf1
{Best Computer: $450 per week plus 6% commission}\plain \f0
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{\par
}\plain \f0
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\pard
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{\par
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{\tab }\plain \f0
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{54.}{\tab }\plain \f0
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{Corrie has nickels, dimes, and quarters in her piggy bank. \par
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\widctlpar\keep\hyphpar0
\li0\ri0\fi0
\ql{In total, she has 45 coins, with a value of $5.25. \par
}\plain \f0
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\cf1
{If she has three more dimes than all the nickels and quarters \par
}\plain \f0
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\cf1
{combined, how many of each type of coin does she have?}\plain \f0
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{\par
}\plain \f0
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{\par
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{\tab }\plain \f0
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{55.}{\tab }\plain \f0
\fs22
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{Dana has nickels, dimes, and quarters in her piggy bank. \par
}\plain \f0
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\pard
\widctlpar\keep\hyphpar0
\li0\ri0\fi0
\ql{In total, she has 26 coins, with a value of $2.70. \par
}\plain \f0
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\cf1
{If she has six more dimes than all the nickels and quarters \par
}\plain \f0
\fs22
\cf1
{combined, how many of each type of coin does she have?}\plain \f0
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{\par
}\plain \f0
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{\par
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{\tab }\plain \f0
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\cf1
{56.}{\tab }\plain \f0
\fs22
\cf1
{a) Create two linear systems that are equivalent to this system:\par
}\plain \f0
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\pard
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\li0\ri0\fi0
\ql{5}\plain \i \f0
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{x}\plain \f0
\fs22
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{ \'96
2}\plain \i \f0
\fs22
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{y}\plain \f0
\fs22
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{ = 2\par
}\plain \f0
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\plain \i \f0
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{x}\plain \f0
\fs22
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{ \'96
}\plain \i \f0
\fs22
\cf1
{y}\plain \f0
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\cf1
{ = 4\par
}\plain \f0
\fs22
\cf1
{b) Verify that all three systems have the same solution.}\plain \f0
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\cf1
{\par
}\plain \f0
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\pard
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\li0\ri0\fi0
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{\par
}\plain \f0
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\pard
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\li0\ri0\fi-1080
\ql\tqr\tx-180\tx0
\plain \f0
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{\tab }\plain \f0
\fs22
\cf1
{57.}{\tab }\plain \f0
\fs22
\cf1
{The sum of two numbers is 45, and their difference is 63.\par
}\plain \f0
\fs22
\cf1
\pard
\widctlpar\keep\hyphpar0
\li0\ri0\fi0
\ql{a) Create a system of linear equations for this situation.\par
}\plain \f0
\fs22
\cf1
{b) Create an equivalent system by adding and subtracting your equations.\par
}\plain \f0
\fs22
\cf1
{c) Solve the equivalent systems to determine the two numbers.}\plain \f0
\fs2
\cf1
{\par
}\plain \f0
\fs2
\cf1
\pard
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\li0\ri0\fi0
\ql\plain \f0
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\cf1
{\par
}\plain \f0
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\pard
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\li0\ri0\fi-1080
\ql\tqr\tx-180\tx0
\plain \f0
\fs22
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{\tab }\plain \f0
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\cf1
{58.}{\tab }\plain \f0
\fs22
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{As the owner of a banquet hall, you are in charge of catering a reception. \par
}\plain \f0
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\cf1
\pard
\widctlpar\keep\hyphpar0
\li0\ri0\fi0
\ql{You are serving two dinners: a chicken dinner that costs $22 and a fish dinner \par
}\plain \f0
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\cf1
{that costs $19. Two hundred fifty guests have ordered their dinners in advance, \par
}\plain \f0
\fs22
\cf1
{and the total bill is $5137.\par
}\plain \f0
\fs22
\cf1
{a) Create a system of linear equations for this situation.\par
}\plain \f0
\fs22
\cf1
{b) Create an equivalent system by multiplying the guest equation by 10 \par
}\plain \f0
\fs22
\cf1
{and then subtracting the cost equation from this new equation.\par
}\plain \f0
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{c) Simplify and then solve the equivalent system to determine the number of each
type of dinner ordered.}\plain \f0
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{59.}{\tab }\plain \f0
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{In a charity bike-athon, Samantha and Thomas biked 68.4 km. \par
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\pard
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}\plain \f0
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{a) Create a linear system to model this situation.\par
}\plain \f0
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{b) Solve the system to determine how far each person biked.}\plain \f0
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{\par
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{The perimeter of a makeshift basketball court is 72 m. \par
}\plain \f0
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{a) Create a linear system to model this situation.\par
}\plain \f0
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{b) Solve the system to determine the dimensions of the court.\sect
\par
}\sectd\sbkpage
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{1.6: Review\par
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