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?

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

Given that,

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.

Learn more: link

Step-by-step explanation:

d + q = 27d = 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