### Home > GB8I > Chapter 6 Unit 7 > Lesson INT1: 6.2.3 > Problem6-74

6-74.

Hotdogs and corndogs were sold at last night’s football game. Use the information below to write equations to help you determine how many corndogs were sold.

1. The number of hotdogs sold was three fewer than twice the number of corndogs sold. Write an equation relating the number of hotdogs and corndogs. Let $h$ represent the number of hotdogs and $c$ represent the number of corndogs.

$h=2c-3$

2. A hotdog costs $$3$ and a corndog costs$$1.50$. If \$$201$ was collected, write an equation to represent this information.

Multiply the number of hotdogs by $3$ and the number of corndogs by $1.5$.
Add the products and set them equal to $201$.

3. How many corndogs were sold? Show how you calculated your answer.

Substitute $2c-3$ from the equation in part (a) into the equation in part (b).

Solve for $c$.