8.68.6Coin and Ticket Coin and Ticket

ProblemsProblems

•CA Standard 9.0CA Standard 9.0•Two Key TermsTwo Key Terms

CA Standard 9.0CA Standard 9.0

Applying CA 9.0: Solve a system of Applying CA 9.0: Solve a system of two linear equations in two variables two linear equations in two variables algebraically.algebraically.

Calvin paid his $1.35 skate rental with dimes and nickels only. There were 19 coins in all. How many of each coin were there?

Let d = the # of dimes Let n = the # of nickels

#1 Coin Problems

19 nd#1

135510 nd#2

#1 Coin Problems

19 nd135510 nd

)5(19)(5 nd 9555 nd

135510 nd

405 d8d

19 nd198 n

11n8 dimes

11 nickels

On a table there are 20 coins, some are quarters and some are dimes. Their value is $3.05. How many of each is there?

Let q = the # of quarters Let d = the # of dimes

#2 Coin Problems

20 dq#1

3051025 dq#2

#2 Coin Problems

20 dq3051025 dq

)10(20)(10 dq 2001010 dq

3051025 dq

10515 q7q

20 dq207 d

13d7 Quarters

13 Dimes

There were 166 paid admissions to a game. The price was $2 for adults and $0.75 for children. The amount taken in was $293.25. How many adults and how many children attended?

Let a = the # of adults attending Let c = the # of children attending

#3 Ticket Problems

166 ca#1

25.29375.02 ca#2

#3 Ticket Problems

166 ca25.29375.02 ca

)2(166)(2 ca 33222 ca25.29375.02 ca

75.3825.1 c

31c16631a135a

135 adults

31 children