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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.

  1. 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 represent the number of hotdogs and represent the number of corndogs.

  2. A hotdog costs and a corndog costs . If was collected, write a mathematical sentence to represent this information.

    Multiply the number of hotdogs by and the number of corndogs by .
    Add the products and set them equal to .

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

  • Substitute from the equation in part (a) into the equation in part (b).

    Solve for .