SOLUTION: how do you write an equation form 30 more quarters and nickels equals $73.50

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Question 1151978: how do you write an equation form 30 more quarters and nickels equals $73.50
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
an equation form 30 more quarters and nickels?
I assume there is 30 more quarters than nickels
let the number of quarters be x and the number of nickels be y
x=y%2B30....eq.1
$q=0.25
$n=0.05

0.25x%2B0.05y=73.50
0.25%28y%2B30%29%2B0.05y=73.50
0.25y%2B7.5%2B0.05y=73.50
0.30y=73.50-7.5
0.30y=66
y=66%2F0.30
y=220

x=y%2B30....eq.1
x=220%2B30
x=250
so, you have 250 quarters and 220 nickels
check:
0.25%2A250%2B0.05%2A220=73.50
62.50%2B11=73.50
73.50=73.50