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

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 .

And the number of quarters be .

As the value of dime = $0.10.

And the value of quarter = $0.25.

So, according to question:

⇒

⇒

⇒

Subtracting both sides by 1.75 we get:

⇒

Dividing both sides by 0.35 we get:

⇒

Thus, the number of dimes = 8.

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

Therefore, she have 15 quarters.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680