SOLUTION: There is a collection of 54 nickels and dimes worth $3.80. How many nickels do you have?

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Question 160907This question is from textbook Algebra 1
: There is a collection of 54 nickels and dimes worth $3.80. How many nickels do you have? This question is from textbook Algebra 1

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

D%2BN=54coins -----------------------> EQN 1
In EQN 1 we get,
D=54-N ----------------------------> EQN 2
Also,
0.10D%2B0.05N=3.80 ------------------> EQN 3
Subst. EQN 2 in EQN 3:
0.10%2854-N%29%2B0.05N=3.80
5.4-0.10N%2B0.05N=3.80
5.4-3.80=0.10N-0.05N
1.60=0.05N ------> cross%281.60%2932%2Fcross%280.05%29=cross%280.05%29N%2Fcross%280.05%29
N=32coins number of Nickels (ANSWER)
For D, via EQN 2:
D=54-32=22coins number of Dimes
Check via EQN 3:
0.10%2822%29%2B0.05%2832%29=3.80
2.2%2B1.60=3.80
3.80=3.80
Thank you,
Jojo