Question

Brenda is selling two different not mixes as snacks. Mix A has 3 oz. of cashews and 7 oz. of almonds. Mix B has 6 oz. of cashews and 5 oz. of almonds. Which inequalities represent the number of mix A mixes, and mix B mixes, B, Brenda can make if she has 72 oz. of cashews and 84 oz. of almonds.​

Answer 1

3A+6B≤72

7A+5B≤84

Explanation:

Just took the exam and got it right

Answer 2

Mix A ≤ 12

Mix B ≤ 12

Explanation:

Mix A requires 3 oz of cashews and 7 oz of almonds

Mix B requires 6 oz of cashews and 5 oz of almonds

If Brenda makes just Mix A using the available 72 oz of cashews and 84 oz of almonds

With 72 oz of cashews, she would potentially make 72/3=24 Mix A snacks

With 84 oz of almond, she would potentially make 84/7=12 Mix A snacks

Since she would require both cashews and almonds to make Mix A snacks, she would be able to make 12 mix A snacks

Inequality would be:

Mix A ≤ 12

If Brenda makes just Mix B using the available 72 oz of cashews and 84 oz of almonds

With 72 oz of cashews, she would potentially make 72/6=12 Mix B snacks

With 84 oz of almond, she would potentially make 84/5=16 (approximately) Mix B snacks

Since she would require both cashews and almonds to make Mix B snacks, she would be able to make 12 mix B snacks

Inequality would be:

Mix B ≤ 12