Vina has $4.70 in quarters, dimes and nickels in her purse. She has eight more dimes than quarters and six more nickels than quarters. How many of each coin does she have?

Nickels (0.05) : Q + 6

Dimes (0.10) : Q + 8

Quarters (0.25) : Q

Nickels + Dimes + Quarters = Total

0.05 (Q + 6) + 0.10 (Q + 8) + 0.25 (Q) = 4.70

0.05Q + 0.30 + 0.10Q + 0.80 + 0.25Q = 4.70

0.40Q + 1.10 = 4.70

0.40Q = 3.60

Q = 9

Nickels (0.05) : Q + 6 = (9) + 6 = 15

Dimes (0.10) : Q + 8 = (9) + 8 = 17

Answer: Nickels = 15, Dimes = 17, Quarters = 9