Stacy sells homemade pizzas, sizes large and small. A small pizza has 10 olive pieces and 18 mushroom pieces. A large pizza has 15 olive pieces and 45 mushroom pieces. She has enough olives and mushrooms for 60 olive pieces and 135 mushrooms pieces. Let x represent the number of small pizzas and y represent the number of large pizzas. Write all of the constraints for this situation, and explain each.

Question

Selina Molina

Mathematics

7 December, 09:42

Stacy sells homemade pizzas, sizes large and small. A small pizza has 10 olive pieces and 18 mushroom pieces. A large pizza has 15 olive pieces and 45 mushroom pieces. She has enough olives and mushrooms for 60 olive pieces and 135 mushrooms pieces. Let x represent the number of small pizzas and y represent the number of large pizzas. Write all of the constraints for this situation, and explain each.

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Answers (1)

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Ansley Orozco · Answer 1

let x be represent the number of the small pizza.

y be represent the number of the big pizza.

as given in the question stacy has total number of olives are 60 and mushrooms are 135.

Equations are

10x + 15y = 60

18x+45y=135

x≥0, y≥0

I have shown these above mentioned equation in the below diagram.