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Viefleur [7K]
3 years ago
5

8. Nate bought two large pizzas and one small pizza and paid $36. If the difference in cost between a large and small pizza is $

5.25, how much does a small pizza cost?
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
5 0

Answer:

$8.5

Step-by-step explanation:

We need to propose a system of equations with the information provided to us.

two large pizzas and one small pizza cost $36:

2L+S=36

where

L: Large pizza

S: Small pizza

and the difference in cost between a large and small pizza is $5.25:

L-S=5.25

our system of equations is:

2L+S=36

L-S=5.25

We are asked for the price of small pizza, so we must manipulate the equations in such a way that adding or subtracting them removes the variable L and we are left with an equation for S.

Multiply the second equation of the system by -2

(-2)(L-S=5.25)\\\\-2L+2S=-10.5

and now we sum this with the first equation of the system:

-2L+2S=-10.5\\+(2L+S=36)\\-------------\\-2L+2L+2S+S=-10.5+36

simplifying the result:

3S=25.5

and solving for S (the price of a small pizza)

S=25.5/3\\S=8.5

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