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Last week, an office group spent $122 on 6 cheese pizzas and 4 salads. This week, the group spent $192 on 8 cheese pizzas and 6 salads. Let [tex]c[/tex] represent the number of cheese pizzas and [tex]s[/tex] represent the number of salads.

Which system of equations can be used to find the cost of one cheese pizza and one salad?

A. [tex]6c + 4s = 122[/tex]; [tex]8c + 6s = 192[/tex]

B. [tex]6c + 4s = 192[/tex]; [tex]8c + 6s = 122[/tex]

C. [tex]8c + 4s = 192[/tex]; [tex]6c + 6s = 122[/tex]

D. [tex]4c + 6s = 122[/tex]; [tex]6c + 8s = 192[/tex]

Answer :

Final answer:

The correct system of equations based on the given conditions is: 6c + 4s = 122 and 8c+ 6s = 192, which is option a.

Explanation:

This problem is about creating system of equations based on the given conditions. In this case, the conditions are that the group spent $122 on 6 cheese pizzas (represented by c) and 4 salads (represented by s) the first week, and $192 on 8 cheese pizzas and 6 salads the second week. From these conditions, we can establish the following system of equations:

  1. 6c + 4s = 122
  2. 8c + 6s = 192

So the correct system of equations to find the cost of one cheese pizza and one salad is option a. This choice would allow you to solve the problem efficiently by either substitution or elimination method.

Learn more about System of Equations here:

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