At a snack stand, hot dogs cost $3.50 and hamburgers cost $5. if the snack stand sold 27 snacks and made $118.50 in revenue, how many hot dogs were sold? how many hamburgers?

the number of hot dogs that were sold is 11

the number of hamburgers that were sold is 16

Step-by-step explanation:

Let x represent the number of hot dogs that were sold.

Let y represent the number of hamburgers that were sold.

At a snack stand, hot dogs cost $3.50 and hamburgers cost $5. If the snack stand sold 27 snacks and made $118.50 in revenue, this means that

x + y = 27 - - - - - - - - - -1

3.5x + 5y = 118.5 - - - - - - - 2

Substituting x = 27 - y into equation 2, it becomes

3.5(27 - y) + 5y = 118.5

94.5 - 3.5y + 5y = 118.5

- 3.5y + 5y = 118.5 - 94.5

1.5y = 24

y = 24/1.5 = 16

x = 27 - y = 27 - 16 = 11