## 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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2 weeks 2021-09-13T11:10:06+00:00 1 Answer 0

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