#8: 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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Step-by-step explanation:

We can let d represent the number of dimes. Then the number of quarters is 23-d, and the total value of the change is ...

  0.10d + 0.25(23 -d) = 4.70

  -0.15d + 5.75 = 4.70

  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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There were 23-7 = 16 quarters.