### Home > CCA > Chapter Ch4 > Lesson 4.2.2 > Problem 4-51

Hotdogs and corndogs were sold at last night's football game. Use the information below to write mathematical sentences to help you determine how many corndogs were sold. Homework Help ✎

The number of hotdogs sold was three fewer than twice the number of corndogs. Write a mathematical sentence that relates the number of hotdogs and corndogs. Let

*h*represent the number of hotdogs and*c*represent the number of corndogs.*h*= 2*c*− 3A hotdog costs $3 and a corndog costs $1.50. If $201 was collected, write a mathematical sentence 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.How many corndogs were sold? Show how you found your answer.

Substitute 2

*c*− 3 from the equation in part (a) into the equation in part (b).Solve for

*c*.