Question

Marla has $4.55 in dimes and quarters. If she has 7 more quarters than dimes, how many quarters does she have?

Answer 1

She have 15 quarters.

Explanation:

Given:

Marla has $4.55 in dimes and quarters.

Now, to find the quarters she have, if she has 7 more quarters than dimes.

Let the number of dimes be
`x`.

And the number of quarters be
`7+x`.

As the value of dime = $0.10.

And the value of quarter = $0.25.

So, according to question:

⇒
`0.10x+0.25(7+x)=4.55`

⇒
`0.10x+1.75+0.25x=4.55`

⇒
`0.35x+1.75=4.55`

Subtracting both sides by 1.75 we get:

⇒
`0.35x=2.8`

Dividing both sides by 0.35 we get:

⇒
`x=8`

Thus, the number of dimes = 8.

And the number of quarters =
`7+x` = 7+8 = 15.

Therefore, she have 15 quarters.