Question

Can you answer this, as it is greatly appreciated

Answer 1

• See below

Explanation:

Let the amount of pecans is x pounds and cashew is y pounds.

The inequalities according to the question are:

• x + y ≥ 3
• 6x + 8y ≤ 24

The solution of the system is attached as a graph below.

Possible combinations are:

• (2, 1) or (1, 2)

Answer 2

3 pounds of pecans and 0.5 pound of cashews

2.5 pounds of pecans and 1 pound of cashews

Explanation:

Given information:

• Malik can spend no more than $24 to buy pecans and cashews.
• Malik wants to buy at least 3 pounds of nuts.
• Cost of pecans = $6 per pound
• Cost of cashews = $8 per pound

Define the variables:

Let x = number of pounds of pecans Malik can buy

Let y = number of pounds of cashews Malik can buy

Create a system of inequalities from the given information:

• 6x + 8y ≤ 24
• x + y ≥ 3

Graph the inequalities (see attached)

The possible solutions are any points enclosed by the shaded area where x > 0 and y > 0.

Therefore, two possible combinations are:

• 3 pounds of pecans and 0.5 pound of cashews
• 2.5 pounds of pecans and 1 pound of cashews