MATH SOLVE

4 months ago

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

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