Question

A grocery store sells almonds for $7/lb and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y represents the number of pounds of peanuts. Which inequality can be used to find how much of each type of nut can bought without spending more than $10?

Answer 1

`7x+5y\leq 10`.

Explanation:

Let x represent the number of pounds of almonds, and let y represents the number of pounds of peanuts.

We have been given that a grocery store sells almonds for $7/lb, so the cost of x pounds of almonds would be 7x.

We are also told that the grocery store sells peanuts for $5/lb, so the cost of y pounds of peanuts would be 5y.

Since we need to find the inequality that represents amount of each type of nut we can bought without spending more than $10, so the cost of x pounds of almonds and y pounds of peanuts should be less than or equal to 10

Therefore, our required inequality would be
`7x+5y\leq 10`.

Answer 2

The total cost for x pounds of almonds given that each pound costs $7 is $7x. In the same manner, the total cost of y pounds of peanuts is $5y. The inequality with the condition that the total amount spent should not be more than $50,
7x + 5y ≤ 50