In a pile of coins , there are 7 more quarters than nickels. If there is a total of 2.65 in coins how many quarters are there?

Answer 1

Take a look at the video attached

Answer 2

Let x = to the number of nickels.

Let x + 7 = the number of quarters.

So multiply x by .05 to find out how much the nickles are worth and

multiply x + 7 by .25 to find out how much the quarters are worth.

Then add them together to get the total and solve.

.05x + .25(x + 7) = 2.65

.05x + .25x + 1.75 = 2.65

.30x + 1.75 = 2.65

Subtract 1.75 from each side of the equation.

.30x = .90

x = 3

x + 7 = 10

So 10 is the number of quarters.

Answer 3

7 quarters = 1.75

the closest you can get to 2.65 with just quarters is 2.50 ...

therefor if you use 3 nickels to get the .15

3 nickels + 10 Quarters = 2.65

if i was to show my work i would show these equations

Q=N+7

0.25(Q) + 0.5(N) = 2.65

plug Q in

0.25(N+7) + 0.5(N) = 2.65

0.3N + 1.75 = 2.65

0.3N = .90

N = 3