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#12: Ella's grandmother sewed her a change purse. When she gifted it to her. Ella counted 23 coins already in it. Ella noticed there were only dimes and quarters worth $4.70. How many dimes were in the change purse?*​

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Answer:

7 dimes

Explanation:

Let d represent the number of dimes. Then 23-d is the number of quarters, and the total value is ...

0.10d + 0.25(23-d) = 4.70

-0.15d +5.75 = 4.70 . . . . . simplify

1.05 = 0.15d . . . . . . . . add 0.15d -4.70 to both sides

7 = d . . . . . . . . . . . divide by 0.15

There were 7 dimes in the change purse.

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