Question

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?

Answer 1

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