a child is collecting state quarters and new $1 coins. if she has a total of 23 coins, and the number of quarters is 9 more than the number of dollar coins, how many of each type of coins does she have?

16 state quarters and 7 new $1 coins.

Step-by-step explanation:

A child is collecting state quarters and new $1 coins.

She has a total of 23 coins.

The number of quarters is 9 more than the number of dollar coins.

Let the number of dollar coins be x.

The number of quarters will be x + 9

x + (x + 9) = 23

2x + 9 = 23

2x = 23 - 9 = 14

2x = 14, x = 7

So the child has 7 new dollar coins and 7 + 9 = 16 state quarters.