Answer:
She have 15 quarters.
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 [tex]x[/tex].
And the number of quarters be [tex]7+x[/tex].
As the value of dime = $0.10.
And the value of quarter = $0.25.
So, according to question:
⇒[tex]0.10x+0.25(7+x)=4.55[/tex]
⇒[tex]0.10x+1.75+0.25x=4.55[/tex]
⇒[tex]0.35x+1.75=4.55[/tex]
Subtracting both sides by 1.75 we get:
⇒[tex]0.35x=2.8[/tex]
Dividing both sides by 0.35 we get:
⇒[tex]x=8[/tex]
Thus, the number of dimes = 8.
And the number of quarters = [tex]7+x[/tex] = 7+8 = 15.
Therefore, she have 15 quarters.
