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

quarters = 10

Step-by-step explanation:

Suppose, number of number of nickels = x

So, number of quarters = x + 7



1 nickel = 5 pennies = 1/20 dollar

1 nickel = $0.05

1 quarter = 25 pennies or 5 nickels = 1/4 dollar

1 quarter = $0.25

Total amount of quarters in the pile of coins = 0.25 * (x+7)

Total amount of nickels in the pile of coins = 0.05 * x

Equation

0.25 * (x+7) + 0.05 * x = 2.65

0.25x + 1.75 + 0.05x = 2.65

0.3x + 1.75 = 2.65

0.3x = 0.9

x = 0.9/0.3

x = 3

Number of quarters = x + 7

= 3 + 7

= 10