Question

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 guess check and revise to solve

Answer 1

So basically what ur gonna have to do if divide 2.65 into 25 so it is gonna be 2.65 divided by 25 and what ever number you get is how many number of quarters there are

Answer 2

Write a system of equation based on the problem
A quarter is worth $0.25 and a nickle is worth $0.05. Suppose the number of quarters is represented by q and the number of nickels is represented by n.

First Equation
"There are 7 more quarters than nickels" could be written as
⇒ q = n + 7

Second Equation
"There is a total of $2.65" could be written as
⇒ 0.25q + 0.05n = 2.65 (change to whole number, multiply both side by 100)
⇒ 25q + 5n = 265

Work on the system of equation
Substitute q = n + 7 to the second equation
25q + 5n = 265
25(n + 7) + 5n = 265
25n + 175 + 5n = 265
30n + 175 = 265
30n = 265 - 175
30n = 90
n = 90/30
n = 3
The number of nickels is 3

Substitute n = 3 to the first equation
q = n + 7
q = 3 + 7
q = 10
The number of quarters is 10