Ben has a collection of quarters and nickels worth $5.35. if the number of nickels is 5 less than twice the number of quarters, find the number of each coin.

(q = quarters, n = nickles)

First, create your system of equations:

   25q + 5n = 535 cents

   n = 2q - 5

Second, Substitute for n:

   25q + 5(2q - 5) = 535

Simplify:

   25q + 10q - 25 = 535

Simplify to solve for q:

   35q=560

   q=16

Next, solve for n by plugging the value of q back into the equation:

   n=2q - 5

   n=32-5

   n=27

There would be 16 quarters and 27 nickles.

Hoped this helped!

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.