Symbolize and Solve Linear Inequalities

Question

Mary is buying soil and plants for her garden. The soil costs $4 per bag and the plants cost $10 each. She wants to buy at least 5 items, and can spend no more than $100.

Which two inequalities can be used to determine the number of bags of soil (s) and the number of plants (p) Mary can buy for her garden?

 A. 

 B. 

 C. 

 D. 

Answer 1

She wants to purchase at least 5 items, so that inequality becomes s + p ≥ 5. That eliminates choices B and C.

Since soil is 4 per bag, plants 10 each and she can spend no more than 100, that inequality becomes

4s +10p ≤ 100

So answer A.