Question

Please Help Me

A supermarket employee is making a mixture of cashews and almonds. Cashews cost $7 per pound, and almonds cost $5 per pound. The employee wants to make less than 6 pounds of the mixture and wants the total cost of the nuts used in the mixture to be not more than $30.

Let x represent the number of pounds of cashews. Let y represent the number of pounds of almonds.

Select all inequalities that represent constraints for this situation.

x+y≤30

x+y≤6

7x+5y<6

7x+5y>30

x+y<6

7x+5y≤30

Answer 1

Hence, the inequalities that represent constraints for the situation given is:

x+y<6

and 7x+5y≤30

Explanation:

Cashews cost $7 per pound, and almonds cost $5 per pound.

The employee wants to make less than 6 pounds of the mixture and wants the total cost of the nuts used in the mixture to be not more than $30.

Let x represent the number of pounds of cashews. Let y represent the number of pounds of almonds.

i.e. x+y<6

Also,

7x+5y≤30

Hence, the inequalities that represent constraints for the situation given is:

x+y<6

and 7x+5y≤30

Answer 2

Given:
Cashew = $7 per pound ; represented by x
Almond = $5 per pound ; represented by y

makes less than 6 pounds

x + y < 6

7x + 5y < 30