Q:

At a sporting event concession stand, a small bottle of water costs $2.50 and a large bottle costs $3.00. The concession stand employees collected a total of $357 from water bottle sales. They sold twice as many large bottles as small bottles. Let s represent the number of small bottles sold and let l represent the number of large bottles sold. How many of each size water bottle did they sell?

Accepted Solution

A:
First we have to setup the system of equations for the given case.
Small bottles=s
Large bottles=l
Equations are:
l=2s Equation 1
2.5s+3l=357 Equation 2
Substitute value of l in equation 2.
2.5s+3(2s)=357
2.5s+6s=357
8.5s=357
s=42
Now substitute value of s in equation 1.
l=2(42)
l=84

So they sold 42 small bottles and 84 large bottles of water.
Total bottles= 126