Question

Marsha is buying salt and sand for defrosting her driveway. The salt cost $4 per bag, and the sand cost $10 per bag. She wants to buy at least 5 bags of sand and can spend no more than $100. Write a system of linear inequalities to model the situation

Answer 1

6 sand bags. $60
10 bags of salt $40

Answer 2

The system of linear inequalities is equal to

`4x+10y\leq 100`

`y\geq 5`

Explanation:

Let

x-----> the number of bags of salt

y-----> the number of bags of sand

we know that

`4x+10y\leq 100` -----> inequality A

`y\geq 5` ------> inequality B

Using a graphing tool

see the attached figure

The solution of the system of inequalities is the triangular shaded area