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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 ✎

  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 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 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.

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

  • Substitute 2c − 3 from the equation in part (a) into the equation in part (b).

    Solve for c.