Elle ordered some large pizzas and some medium pizzas for a party. In all, she ordered 18 pizzas. Large pizzas cost $14, and medium pizzas cost $10. In all, she spent $204. Determine if each equation is a part of the system of equations that can be used to find the number of each type of pizza that was ordered. The variable x represents the number of large pizzas, and y represents the number of medium pizzas.

Question

Charity Winters

Mathematics

20 November, 17:02

Elle ordered some large pizzas and some medium pizzas for a party. In all, she ordered 18 pizzas. Large pizzas cost $14, and medium pizzas cost $10. In all, she spent $204. Determine if each equation is a part of the system of equations that can be used to find the number of each type of pizza that was ordered. The variable x represents the number of large pizzas, and y represents the number of medium pizzas.

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Janelle · Answer 1

L+m=18, l=18-m

14l+10m=204 using l found above in this we get:

14 (18-m) + 10m=204

252-14m+10m=204

252-4m=204

-4m=-48

m=12, since l=18-m

l=6

So Elle ordered 6 large and 12 medium pizzas.