Question

Jenny has a total of 17 dimes and quarters in her piggy bank. If the coins are worth $2.45, how many quarters does she have

Answer 1

5 quarters.

Explanation:

Let d represent number of dimes and q represent number of quarters.

We have been given that Jenny has a total of 17 dimes and quarters in her piggy bank. We can represent this information in an equation as:

`d+q=17...(1)`

We are also told that value of all coins is $2.45. We can represent this information in an equation as:

`0.10d+0.25q=2.45...(2)`

From equation (1), we will get:

`d=17-q`

Upon substituting this value in equation (2), we will get:

`0.10(17-q)+0.25q=2.45`

`1.7-0.10q+0.25q=2.45`

`1.7+0.15q=2.45`

`1.7-1.7+0.15q=2.45-1.7`

`0.15q=0.75`

`(0.15q)/(0.15)=(0.75)/(0.15)`

`q=5`

Therefore, Jenny had 5 quarters.