a grocery store sells almonds for $7/lb and peanuts for $5/lb. let x represent the number of pounds of…

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?\n7x + 5y < 10\n7x + 5y ≤ 10\n7y + 5x < 10\n7y + 5x ≤ 10
Answer
Explanation:
Step1: Calculate the cost of almonds and peanuts
The cost of almonds is (7x) (since almonds are $7 per lb and (x) is the number of pounds). The cost of peanuts is (5y) (since peanuts are $5 per lb and (y) is the number of pounds). The total cost is (7x + 5y).
Step2: Determine the inequality based on the spending limit
We want to spend no more than $10. The phrase "no more than" means less than or equal to. So the inequality is (7x+5y\leq10).
Answer:
(7x + 5y\leq10) (the second option)