Question

Pepe’s Pizza makes 26 pizza crusts the first week and 180 pizza crusts each subsequent week. Dianne’s Delicatessen makes 52 pizza crusts the first week and 167 pizza crusts each subsequent week. In how many weeks will the total number of pizza crusts made by Pepe’s Pizza be the same as the number of pizza crusts made by Dianne’s Delicatessen? Explain and show work to support your answer.

Answer 1

Answer: the total number of pizza crusts made by Pep's Pizza

equals twice the total number of pizza crusts

made by Dianne's Delicatessen when:

+52+%2B+180n+=+2%2A%28+26+%2B+90n+%29+

+52+%2B+180n+=+52+%2B+180n+

This equation is satisfied for any value of +n+,

so Pepe's always makes twice as much as Dianne's

Explanation: