Find how many of each coin are there

Question

 A change purse contains $6.55 in nickels and quarters. If the number of dimes is 5 more than the number of quarters, how many of each coin are there?

Answer 1

Assuming you meant the number of nickels (not dimes) is 5 more

then N=5+Q

5N+25Q = 655

5(5+Q) +25Q = 655

25 +30Q= 655

30Q = 630

Q = 21 quarters

N= 26 nickels

5(26) + 25(21) = 130 + 525 = 655