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You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many
Question
You have 59 total coins in a jar on your nightstand at home. The total amount of money is $12.05. You only have quarters and dimes. How many of each type of coin do you have? (hint – use a different method to write and solve the system).
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Mathematics
4 years
2021-08-17T03:29:35+00:00
2021-08-17T03:29:35+00:00 1 Answers
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Answer:
Step-by-step explanation:
When there are two contributors to the mix, it usually works well to let a variable represent the quantity of the larger contributor. Here, that larger contributor is the quarter.
Let q represent the number of quarters. Then 59-q is the number of dimes. The value of the coins, in cents, is …
25q +10(59 -q) = 1205
15q +590 = 1205 . . . . . . . . eliminate parentheses, collect terms
15q = 615 . . . . . . . . . . . subtract 590
q = 41 . . . . . . . . . . divide by 15
59-q = 59 -41 = 18 . . . . . number of dimes
You have 41 quarters and 18 dimes.