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shusha [124]
3 years ago
15

A collection of coins consisting of nickels dimes and quarters amount to 7.20. There are six more dimes than nickels and six mor

e quarters than dimes. Find the number of each kind of coin.
Mathematics
1 answer:
monitta3 years ago
7 0

Answer:

9 nickles

15 dimes

21 quarters

Step-by-step explanation:

Number of nickels = N

Number of dimes = D

Number of quarters = Q

The following system can be modeled based of the given information:

0.05N+0.10D+0.25Q=7.20\\D=N+6\\Q=D+6

Solving the system:

D=N+6\\Q=N+6+6=N+12\\0.05N+0.10*(N+6)+0.25*(N+12)=7.20\\0.4N=7.20-0.6-3\\N=9\\D=9+6=15\\Q=15+6=21

The collection consists of 9 nickels, 15 dimes and 21 quarters.

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Answer:

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Step-by-step explanation:

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5 0
3 years ago
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
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Hope this helps.

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