Problema Solution

A busload of campers stopped at a dairy stand for ice cream. They ordered 66 ​cones, some​ soft-serve at ​$1.50 each and the rest​ hard-pack at ​$0.50 each. If the total bill was ​$72.00, how many of each type of cone were​ ordered?

How many​ soft-serve cones were​ ordered?

Answer provided by our tutors

Let

s = soft-serve cones

h = hard-pack cones

There were 66 cones ordered in total:

s + h = 66

The total bill was $72 means:

1.50s + 0.50h = 72

We have the following system of equations:

s + h = 66

1.50s + 0.50h = 72

........

click here to see the system of equations solved for s and h

........

s = 39 soft-serve cones

h = 27 hard-pack cones

There were 39 soft-serve and 27 hard-pack cones ordered.