Problema Solution
In Peter's piggy bank, there are 6 times as many dimes as quarters and 15 more nickels than quarters. If Peter has $7.05 in his bank, how many quarters does he have?
Answer provided by our tutors
let 'x' represent the number of quarters in Peter's piggy bank, then '6x' represents the number of dimes and 'x+15' represents the number of nickels
we then have this equation for the total value in the piggy bank:
7.05 = (0.25)x + (0.10)(6x) + (0.05)(x+15)
...solving for x we have:
x=7
6*7 = 42 dimes
7+15 = 22 nickels
there are 7 quarters in Peter's piggy bank