A piggy bank contains six times as many quarters as dimes. If the total amount of moneyis $28.80, how many quarters and dimes are in the piggy bank?
Let the number of dimes = x and the number of quarters = 6x
So
Value of a dime * numbereof them + Value of a quarter * number of them = Total value in the bank
10x + (6x) (25) = 2880 simplify
10x + 150x = 2880
160x = 2880
x = 2880 / 160 = 18 dimes
6x= 6 (18) = 108 quarters