SOLUTION: Mr. Carmona has a total of $1.05 in nickels and dimes. If he had three more nickels, then he'd have four times as many nickels as dimes. Find the number of nickels and dimes.
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-> SOLUTION: Mr. Carmona has a total of $1.05 in nickels and dimes. If he had three more nickels, then he'd have four times as many nickels as dimes. Find the number of nickels and dimes.
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Question 737512: Mr. Carmona has a total of $1.05 in nickels and dimes. If he had three more nickels, then he'd have four times as many nickels as dimes. Find the number of nickels and dimes. Answer by checkley79(3341) (Show Source):
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.05N+.10D=1.05
N+3=4D
N=4D-3
.05(4D-3)+.10D=1.05
.20D-.15+.10D=1.05
.30D=1.05+15
.30D=1.20
D=1.20/.30
D=4 NUMBER OF DIMES.
N+3=4*4
N+3=16
N=16-3
N=13 NUMBER OF NICKLES.
PROOF:
.05*13+.10*4=1.05
.65+.40=1.05
1.05=1.05
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