Question

Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. If the number of snow cones sold was 12 more than the number of smalls, how many of each size did she sell

Answer 1

Answer: 22 small snow cones and 34 large snow cones were sold.

Explanation:

Let x represent the number of small snow cones that were sold.

Let y represent the number of large snow cones that were sold.

Selena's snow cone stand sells small snow cones for $2 and large snow cones for $3.50. One summer day, she sold $163 worth of snow cones. This means that

2x + 3.5y = 163 - - - - - - - - - - 1

If the number of large snow cones sold was 12 more than the number of smalls snow cones, it means that

y = x + 12

Substituting y = x + 12 into equation 1, it becomes

2x + 3.5(x + 12) = 163

2x + 3.5x + 42 = 163

5.5x = 163 - 42

5.5x = 121

x = 121/.5 = 22

y = x + 12 = 22 + 12

y = 34