SOLUTION: Nathan has $4.55 in nickels and quarters. He has twice as many nickles as quarters. How many of each type of coins does he have?

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Question 705502: Nathan has $4.55 in nickels and quarters. He has twice as many nickles as quarters. How many of each type of coins does he have?
Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
System:
q=# of quarters
n=# of nickles
a) Nathan has $4.55 in nickels and quarters
T=0.25(q)+0.05(n)
4.55=0.25q%2B0.05n
b) He has twice as many nickles as quarters
N=2Q
c) Solve system (Substitute)
4.55=0.25q%2B0.05%282q%29
4.55=0.25q%2B0.1q
4.55=0.35q
q=13
N=2Q
N=2%2813%29
N=26
Nick has 13 Quarters, 26 Nickles and very heavy pockets!