Question

Question #50e6c

Answer 1

The number of nickels is 15
The number of quarters is 10

Explanation:

let `x` be the number of nickels
let `y` be the number of quarters

Equation 1: `5x +25y = 325`

Equation 2: `5(x+3) + 25*(2*y) = 590`

Simplify Equation 2
#5x +15 + 50y = 590

Equation 3: 5x + 50y = 575#

Subtract equation 1 from equation 3
`5x-5x + 50y -25y = 575 - 325`

Simplify
`25y = 250`
`y = 10`
The number of quarters is 10

Substitute the value for y into equation 1
`5x +25*10 = 325`

simplify
`5x =325 - 250 = 75`
`x = 75/5 = 15`
The number of nickels is 15