SOLUTION: If you have 20 coins worth $1.35, and you only have nickels and dimes, how many do you have of each coin?

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Question 174425: If you have 20 coins worth $1.35, and you only have nickels and dimes, how many do you have of each coin?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call the number of nickels and dimes , n and d, respectively
:
n+d=20...........eq 1
.05n+.1d=1.35....eq 2
:
lets rewrite eq 1 to n=20-d and plug this value into eq 2
:
.05(20-d)+.1d=1.35
:
1-.05d+.1d=1.35
:
.05d=.35
:
highlight%28d=7%29dimes
:
n=20-d=20-7=highlight%28n=13%29nickels