## A restaurant sells slices for $2 and calzones for $3. On Monday, a total of 54 slices and calzones were sold, and the cashier collected a to

Question

A restaurant sells slices for $2 and calzones for $3. On Monday, a total of 54 slices and calzones were sold, and the cashier collected a total of $120 from sales of slices and calzones. Let x represent the number of slices and y represent the number of calzones. Which system of equations represents the situation?

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2021-09-13T11:10:06+00:00
2021-09-13T11:10:06+00:00 1 Answer
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## Answers ( )

Answer:The system of equations is:x + y = 54

2*x + 3*y = 120

And the solution is x = 42 y = 12

Step-by-step explanation:x number of slices and

y number of calzones

On Monday they collected 120 $

Then 2*x + 3* y = 120

And the total of 54 slices and calzones were sold, then

x + y = 54

The system is:

x + y = 54

2*x + 3*y = 120

Solving for x and y

y = 54 – x

2*x + 3* ( 54 – x ) = 120

2*x + 162 – 3*x = 120 ⇒ – x = – 42

x = 42

And

y = 54 – 42 ⇒ y = 12