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Answer 1 · 2017-12-03T22:41:42

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

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