Question

Dante has 27 coins that are all dimes and quarters. The value of the coins is $4.35. How many dimes and how many quarters does Dante have?

Answer 1

Answer:

Step-by-step explanation:

d + q = 27......d = 27 - q

0.10d + 0.25q = 4.35

0.10(27 - q) + 0.25q = 4.35

2.7 - 0.10q + 0.25q = 4.35

0.15q = 4.35 - 2.7

0.15q = 1.65

q = 1.65 / 0.15

q = 11 <=== 11 quarters

d + q = 27

d + 11 = 27

d = 27 - 11

d = 16 <===== 16 dimes

Answer 2

The number of dimes and number of quarters be 16 and 11.

Given that,

• Dante has 27 coins that are all dimes and quarters. The value of the coins is $4.35.
• Here d means dimes and q means quarters.
• Also, d = 0.10 and q = 0.25.

Based on the above information, the calculation is as follows:

Since

d + q = 27

So,

d = 27 - q

And,

0.10d + 0.25q = 4.35

0.10(27 - q) + 0.25q = 4.35

2.7 - 0.10q + 0.25q = 4.35

0.15q = 4.35 - 2.7

0.15q = 1.65

q = 11 quarters

And,  

d + q = 27

d + 11 = 27

d = 27 - 11

d = 16 dimes

Therefore we can conclude that the number of dimes and number of quarters be 16 and 11.

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