Problema Solution

Bill has 61.50 and has 4 times as many half dollars as quarters, how many half dollars does he have?

Answer provided by our tutors

let Bill have 'x' half dollars and 'y' quarters.


he has 4 times as many half dollars as quarters


y = 4*x


the total money he has is $61.50 that is


0.5*x + 0.25*y = 61.50


since 1 quarter = 25 cents = $0.25


by solving the system of equations


y = 4*x

0.5*x + 0.25*y = 61.50


we find


x = 41 half dollars


y = 164 quarters


Bill has 41 half dollars.