Answer:
She have <u>15 quarters</u>.
Step-by-step 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
.
And the number of quarters be
.
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](https://tex.z-dn.net/?f=0.10x%2B0.25%287%2Bx%29%3D4.55)
⇒![0.10x+1.75+0.25x=4.55](https://tex.z-dn.net/?f=0.10x%2B1.75%2B0.25x%3D4.55)
⇒![0.35x+1.75=4.55](https://tex.z-dn.net/?f=0.35x%2B1.75%3D4.55)
<em>Subtracting both sides by 1.75 we get:</em>
⇒![0.35x=2.8](https://tex.z-dn.net/?f=0.35x%3D2.8)
<em>Dividing both sides by 0.35 we get:</em>
⇒![x=8](https://tex.z-dn.net/?f=x%3D8)
Thus, the number of dimes = 8.
And the number of quarters =
= 7+8 = 15.
Therefore, she have 15 quarters.