8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms.
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Transcript of 8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms.
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