Problema Solution

A busload of campers stopped at a daily stand for ice cream. They ordered 98 cones, some soft serve at $2.25 each and the rest hard pack at $0.50 each. If the total bill was $133.00, how many soft serve cones were ordered?

Answer provided by our tutors

Let


'x' = the number of soft-pack cones ordered then the money spent on them will be 2.25*x


'y' = the number of hard-pack cones ordered then the money spent on them will be 0.50*x


x + y = 98 (the total number of cones)


2.25*x + 0.50*y = 133 (the total bill is $133)


The solution of the system


x + y = 98

2.25*x + 0.50*y = 133


gives the answer


x = 48 soft-serve cones


There were 48 soft-serve cones ordered.