Unit 4 #16- 4-5C Worksheet- Solve Real-Life Application Problems Using Systems of Equations

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Class

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Applications of Linear Systems

Unit 4 #16- 4-5C Worksheet- Solve Real-Life Application Problems Using Systems of Equations

a. Identify the variables

b. Write the equations

c. Solve and show work

d. Explain your answer using a complete sentence

1.Youhave$6000toinvestintwostockfunds.Thefirstfundpays5%annual
interest and the second account pays 9% annual interest. If after a year you
have made $380 in interest, how much money did you invest in each account?

2.Duringasaleatthelocaldepartmentstore,youbuythreesweatshirtsand
two pairs of sweatpants for $85.50. Later you return to the same store and buy
three more sweatshirts and four more pairs of sweatpants for $123. What is the
sale price of each sweatshirt and each pair of sweatpants?

3.Thesumoftwonumbersis27.Thelargernumberis3morethanthesmaller number. What are the two numbers?

4.Youaregettingreadytomoveandhaveaskedsomefriendstohelp.Forlunch,
you buy the following sandwiches at the local deli for $30: six tuna sandwiches
and six turkey sandwiches. Later at night, everyone is hungry again and you
buy four tuna sandwiches and eight turkey sandwiches for $30.60. What is the
price of each sandwich?

5.Youhaveacableplanthatcosts$39amonthforabasicplanplusonemovie channel. Your friend has the same basic plan plus two movie channels for $45.50. What is the basic plan charge that you both pay?

6.Atanall-you-can-eatbarbequefundraiserthatyouaresponsoring,adults pay $6 for a dinner and children pay $4 for a dinner. 212 people attend and you raise $1128. What is the total number of adults and the total number of children attending?

Unit 4 #16- 4-5C Worksheet- Solve Real-Life Application Problems Using Systems of Equations

7.Acoinbankhas250coins,dimesandquarters,worth$39.25.Howmanyof
each type of coin are there?

8.Theconcessionstandissellinghotdogsandhamburgersduringagame. At halftime, they sold a total of 78 hot dogs and hamburgers and brought in $105.50. How any of each item did they sell if hamburgers sold for $1.50 and hot dogs sold for $1.25?

9.Thesumoftwonumbersis67.Thesmallernumberis3lessthanthelarger number. What are the two numbers?

10.Acommunitysponsoredacharitysquaredancewhereadmissionwas$3for adults and $1.50 for children. If 168 people attended the dance and the money raised was $432, how many adults and how many children attended the dance?

11.Astudentinvested$5000intwodifferentsavingsaccounts.Thefirstaccount pays an annual interest rate of 3%. The second account pays an annual interest rate of 4%. At the end of one year, she had earned $185 in interest. How much money did she invest in each account?

12.You just bought a coffee shop for $153,600. The prior owner had an average monthly revenue of $8600 and an average monthly cost of $5400. If your monthly costs and revenues remain the same, how long will it take you to break even?

13.A company manufactures two types of fishing rods, standard and folding. The cost of manufacturing 2 standard and 3 folding rods is $130. If 3 standard and 5 folding rods were manufactured, the cost would be $210. How much does it cost to manufacture each type of rod?

14. Amy’s monthly phone bill includes a fixed charge, which is the same each month, and an additional charge for toll calls. One month the bill was $43, which included charges for 6 toll calls. The following month the bill was $49, which included charges for 8 toll calls. Find the fixed charge and the average charge per toll call.

15. A resort hotel has 100 rooms. Those with kitchen facilities rent for $150 per night and those without kitchen facilities rent for $90 per night. On a night when the hotel was completely occupied, revenueswere $10,200. How many of each type of room does the hotel have?

16.The bill for five glasses of apple juice and 3 salads is $10.70, but the bill for two glasses of apple juice and four salads is $9.60. What is the cost for each glass of apple juice and salad?

17.A movie theater charges $8 for an adult’s ticket and $4 for a child’s ticket. One Saturday the theater sold 920 tickets for $6592. How many adult’s and child’s tickets were sold for the movie that Saturday?