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iVinArrow [24]
3 years ago
7

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

Mathematics
1 answer:
Natalka [10]3 years ago
6 0

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 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

<em>Subtracting both sides by 1.75 we get:</em>

⇒0.35x=2.8

<em>Dividing both sides by 0.35 we get:</em>

⇒x=8

Thus, the number of dimes = 8.

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

Therefore, she have 15 quarters.

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