Question

A grocery store sells almonds for $7/1b 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 boug!

without spending more than $10?

7x+ 5y < 10

7x+ 5y <= 10

7y+ 5x < 10

7y+ 5x <= 10

Answer 1

7x+ 5y <= 10

Explanation:

As the x represents the number of pounds of almonds and the price of the almonds is $7/lb, we need to look for an inequality where the x is multiplied by $7 and the same with the y and $5.

It's useless to multiply the x by $5 or the y by $7 because we are mixing the prices of the nuts.

On the other hand, we don't want to spend more than 10. That means we can spend 10 or less.

Therefore, the inequality we can use to find how much of each type of nut we can buy without spending more than $10 is

7x+ 5y <= 10