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Sagot :
Answer:
- See below
Step-by-step 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:
3 pounds of pecans and 0.5 pound of cashews
2.5 pounds of pecans and 1 pound of cashews
Step-by-step 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
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