Question

Carly has 20 coins of pennies and dimes. The value totals $0.92.How many of each coin is there?

Pennies: ____________________ Dimes: _______________________

Answer 1

90 dimes nd 2 pennies

Answer 2

9514 1404 393

Answer:

• Pennies: 12
• Dimes: 8

Explanation:

The number of pennies will be 2 more than a multiple of 10. 2 pennies and 9 dimes is not enough coins. 12 pennies and 8 dimes is exactly enough.

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This one is easy to figure by "trial and error," as there is only one trial that makes any sense.

If you want to figure it using an equation, it usually works well to let a variable represent the quantity of the higher-value coin. If d is the number of dimes, then 20-d is the number of pennies. The total number of cents is ...

10d +(20-d) = 92

9d = 72 . . . . . . . . . subtract 20

d = 8

20-d = 12

There are 8 dimes and 12 pennies.