SOLUTION: Audrey has 28 dimes and quarters in her piggy bank with a total value of $4.75. How many of the coins are dimes and how many are quarters?

Question 149572: Audrey has 28 dimes and quarters in her piggy bank with a total value of $4.75. How many of the coins are dimes and how many are quarters?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Let's call dimes, D, and quarters, Q.
1. Total number of coins.
2. Total value of coins.
Let's multiply equation 2 by 100 to get rid of decimals.
1.
2.
Use eq. 1 to solve for D and a function of Q.
1.

Now substitute this expression for D in eq. 2,
2.

Solve for Q.

Use eq.1 to solve for D.

Audrey has 15 dimes and 13 quarters.
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