Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas. Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas? Which equation represents the total number of pizza slices?

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Answer:

Manuel ordered pizza for a party. A vegetable pizza has 6 slices per pie. A cheese pizza has 8 slices per pie. Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices. Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.

Which equation represents the relationship between the number of cheese pizzas and the number of vegetable pizzas?

✔ c = 4v

Which equation represents the total number of pizza slices?

✔ 8c + 6v = 152

The equation that the number of cheese pizzas and the number of vegetable pizzas is c = 4v

And, the  equation represents the total number of pizza slices is 8c + 6v = 152

Given that,

  • Manuel ordered pizza for a party.
  • A vegetable pizza has 6 slices per pie.
  • A cheese pizza has 8 slices per pie.
  • Manuel ordered four times as many cheese pizzas as vegetable pizzas for a total of 152 slices.
  • Let c represent the number of cheese pizzas and let v represent the number of vegetable pizzas.

Based on the above information, the equation is as follows:

c = 4v

8c + 6v = 152

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