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 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 $x$ .

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.

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