Question 502977
So you set up equations to match the words:

N = Nickels
Q = Quarters

50 more means "add 50"
Twice means "multiply by 2"

So Q = 2N + 50
For the value, $26.25 = $0.25Q + $0.05N, since quarters are $0.25 and nickels are $0.05

Substitute the equation for Q into the value equation and solve

$26.25 = $0.25(2N + 50) + $0.05N (multiply $0.25 by 2N and 50)

$26.25 = $0.50N + $12.50 + $0.05N (subtract $12.50 from both sides)

$13.75 = $0.50N + $0.05N (combine N terms)

$13.75 = $0.55N (divide by $0.55)

25 = N

Q = 2N + 50 = 2(25) + 50 = 50 + 50 = 100

Answer -

N = 25
Q = 100