HELP ME PLEASE Sasha has $4.90 in his pocket, consisting entirely of dimes and quarters. If there are 25 coins, how many dimes and how many quarters are there?

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  16 quarters; 9 dimes

Step-by-step explanation:

If they were all dimes, Sasha would have $2.50. He has $2.40 more than that. Each quarter that replaces a dime adds $0.15 to the total, so there must have been $2.40/$0.15 = 16 dimes replaced by quarters.

Sasha has 16 quarters and 9 dimes in his pocket.

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If you like, you can write an equation for this. Let q stand for the number of quarters (higher value coin). Then the amount of cents in Sasha's pocket is ...

  25q + 10(25-q) = 490

  15q = 240

  q = 240/15 = 16 . . . number of quarters

  25-q = 9 . . . . . . . . . number of dimes

Comment on the working

You may notice the solution to the equation we wrote follows the verbal solution presented first.

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