SOLUTION: Helen has a $1.35 in her bank in nickles and dimes. There are 9 more nickles than dimes. Find the number she has of each kind

Question 659584: Helen has a $1.35 in her bank in nickles and dimes. There are 9 more nickles than dimes. Find the number she has of each kind
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
x = nickles
y = dimes
$1.35 = .05x + .1y
x = y + 9
Substitute the second equation in the first equation
.05(y+9) + .1y = 1.35
Distribute the .05
.05y + .45 + .1y = 1.35
Combine like terms
.15y + .45 = 1.35
.15y + .45 - .45 = 1.35 - .45
.15y = .9
.15y/.15 = .9/.15
y = 6 dimes
Plug the y value into the second equation
x = 6 + 9
x = 15 nickles
Proof
6 dimes = .1(6) = $.60
15 nickles = .05(15) = $.75
$.60 + $.75 = $1.35
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