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alexgriva [62]
2 years ago
11

In Juan's coin bank there are nickels (n),

Mathematics
1 answer:
allsm [11]2 years ago
7 0

Answer:

Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

Step-by-step explanation:

Since in Juan's coin bank there are nickels (n), dimes (d), and quarters (q), and the number of quarters is one-quarter the number of dimes, and the number of nickels is twice the number of quarters, While the total value of the coins is $ 6.00, to find the number of each type of coin the following calculations must be performed:

Q = 1/4 D

N = 2Q = 1/2 D

D = D

20D + 10N + 5Q = X

20 x 0.10 + 10 x 0.05 + 5 x 0.25 = X

2 + 0.50 + 1.25 = X

3.75 = X

24D + 12N + 6Q = X

24 x 0.10 + 12 x 0.05 + 6 x 0.25 = X

2.40 + 0.60 + 1.50 = X

4.50 = X

32D + 16N + 8Q = X

32 x 0.10 + 16 x 0.05 + 8 x 0.25 = X

3.20 + 0.80 + 2 = X

6 = X

So, Juan has 32 dimes, 16 nickels and 8 quarters in his coin bank.

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