victoria has a total of twenty-four nickles and quarters. she has ten more quarters than nickles.how much money does she have?
let nickels be 'n' and quarters be 'q'
n + q = 24
q = 10 + n
substitute q into the equation
n + (10 + n) = 24
subtract 10 from both sides
10 + 2n = 24
2n = 14
divide by 2 on both sides
n=7 or 7 nickels or 35cents (7*5 cents)
plug 7 back into the second equation because they told us Victoria has 10 more quarters than nickles. So she must have 17 quarters.
7 + 10 = 17 quarters
17 * 25 cents or .25 = 4.25
$4.25 + $.35 = $4.60