Systems of Linear Inequalities

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

First, we usually use lower case letters for variables. Now, if the total number of invitees is 250, then...

a + c = 250

The number of cups total for adults is 3a and for children is 2c. The total is 800.

3a + 2c = 800

So, together, that simply looks like...

a + c = 250

3a + 2c = 800

Since you don't mention solving, I won't!