Question

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.

Answer 1

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

Learn more about linear inequalities at:

• brainly.com/question/9738996
• brainly.com/question/9729310

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