You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

Question

3 years ago

9

You are planning your cousin’s birthday party. He wants to invite at least 250 adults and children combined. Each adult will be

allowed 3 cups of juice and each child will be allowed 2 cups of juice. The caterer will provide only 800 cups of juice total. Write a system of linear inequalities for the party invitees. Use A to represent the number of adults and C the number of children.

Mathematics

1 answer:

olga_2 [115] · Answer 1 · 2022-08-03T04:27:42+03:00

The system of inequalities is x+y≥250 and 3x+2y≤800.

Step-by-step explanation:

Given,

People to invite = at least 250

At least 250 means that the number can increase from 250.

Cups to be provided = only 800

It means the number cannot exceed 800.

Number of adults = A

Number of children = C

According to given statement;

x+y≥250

3x+2y≤800

The system of inequalities is x+y≥250 and 3x+2y≤800.

Keywords: linear inequalities, addition

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