Answer: 22 small snow cones and 34 large snow cones were sold.
Step-by-step 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
