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

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bbfjas bbfjas · Answer 1 · 2018-12-31T04:42:02+01:00

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

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calculista calculista · Answer 2 · 2019-01-06T22:05:57+01:00

Answer:

The system of linear inequalities is equal to

[tex]4x+10y\leq 100[/tex]

[tex]y\geq 5[/tex]

Step-by-step explanation:

Let

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

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

we know that

[tex]4x+10y\leq 100[/tex] -----> inequality A

[tex]y\geq 5[/tex] ------> inequality B

Using a graphing tool

see the attached figure

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

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