SOLUTION: A collection of nickels and quarters is worth $5.70. There are 46 coins in all. Write a system of equations and solve the system to find the number of each type of coin. I really

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Question 170680: A collection of nickels and quarters is worth $5.70. There are 46 coins in all. Write a system of equations and solve the system to find the number of each type of coin.
I really need help with this problem please.
Thanks Jason
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

N%2BQ=46coins -----------------------------> EQN 1
Also, 0.05N%2B0.25Q=5.70 ------------------> EQN 2
In EQN 1 we get,
Q=46-N ----------------------------------> EQN 3
Subst. EQN 3 in EQN 2:
0.05N%2B0.25%2846-N%29=5.70
0.05N%2B11.50-0.25N=5.70
11.50-5.70=0.25N-0.05N
5.80=0.20N ----> cross%285.80%2929%2Fcross%280.20%29=cross%280.20%29N%2Fcross%280.20%29
highlight%28N=29%29, Number of Nickels
Fotr Quarters, go back EQN 3:
Q=46-29=highlight%2817=Q%29, Number of Quarters
In doubt? Go back EQN 2:
0.05%2829%29%2B0.25%2817%29=5.70
1.45%2B4.25=5.70
5.70=5.70
Thank you,
Jojo