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Courtney works for the Red Cross and has been tasked with buying non-perishable items for families recently displaced by a hurricane. She finds a company willing to send her Meals-Ready-to-Eat (MREs) at a discounted price. Cases of small portion meals are $20.00 each and cases of large portion meals are $30.00 each. She buys a total of 20 cases and spends a total of $450.00.

Let x represent the number of small portion meals and let y represent the number of large portion meals. Write a system of equations, in terms of x and y, to model the situation. Enter your equations in the space provided.

User Oli
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1 Answer

6 votes

9514 1404 393

Answer:

  • x + y = 20
  • 20x +30y = 450

Explanation:

The equation for the total number of cases is ...

x + y = 20

The equation for the total cost of the cases is ...

20x +30y = 450

_____

Additional comment

The solution to these equations is (x, y) = (15, 5).

User Datoml
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5.8k points