Question

A man has 25 coins in His pocket all of which are dimes and quarters. If the total value of his change is 475 cents, how many dimes and how many quarters does he have

Answer 1

Answer:

• 10 dimes
• 15 quarters

Step-by-step explanation:

You want to know the numbers of dimes and quarters that make 475 cents using 25 coins.

Setup

Let q represent the number of quarters. Then 25-q is the number of dimes, and the total value of the coins is ...

  25q +10(25-q) = 475

Solution

Simplifying the above equation gives ...

  15q +250 = 475

  15q = 225 . . . . . . . subtract 250

  q = 15 . . . . . . . . . divide by 15; number of quarters

  25 -q = 10 . . . . number of dimes

The man has 10 dimes and 15 quarters.