Kim Falgout\'\'s daughter, Madeline, has a piggy bank with 54 coins. some are uarters, and the rest are half dollars. If the total value of the coins is $17.00, how many of each denomination dooes she have? Solution assume x coins are quarter so 54-x will be halfs. total amount will be= (x/4)+((54-x)/2)=17 so (x/4)+27-(x/2)=17 or (x/4)= 10 or x= 40. so quartes coins are 40 and halfs coins are 54-40= 14. proof : 40 coins quarter, so amount= 40(1/4)=10 14 are halfs so amount = 14(1/2)= 7 total = 10 + 7 =17. hence prooved..