Question

Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?

Answer 1

Well each pen costs $2 and each pencil costs $1.

One of the equations would be

2p + 1c ≤ 10

She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.

1c ≤ 10 c = 10

1(10) ≤ 10

10 ≤ 10

Now for the pens

2p ≤ 10

2. 2

P = 5

5 ≤ 10

Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.