Question

You are planning a thanksgiving fest for all your family and friends. You invite 224 people. You plan to have a piece of pie for each guest. Pumpkin pies have 6 pieces and cost $5. Apple pies have 8 pieces and cost $7. You only have $191 left in your budget. How many of each type of pie should you hut

Answer 1

Explanation:

You are planning a thanksgiving fest for all your family and friends. You invite 224 people. You plan to have a piece of pie for each guest. You only have $191 left in your budget. How many of each type of pie should you hut

Let the number of pumpkin pies = p

The number of apple pies = a

Pumpkin pies have 6 pieces and cost $5. Apple pies have 8 pieces and cost $7.

Hence:

p + a = 224 people

p = 224 - a

$5 × p + $7 × a = $191

5p + 7a = 191..... Equation 1

Substitute 224 - a for p in Equation 1

5(224 - a) + 7a = 191

1120 - 5a + 7a = 191

- 5a + 7a = 191