Question

Roberta wants to create 17 ounces of new hand lotion, with a minimum 15% concentration of beeswax, from a mixture of two lotions. One lotion has a 21% concentration of beeswax, and the second lotion has a concentration of 5% beeswax. Based on the inequality below, how much of the 21% lotion, x, will she need? 0.21x + 0.05(17 - x) > 2.55

Answer 1

Explanation:

Given the inequality

0.21x + 0.05(17 - x) > 2.55 where x is the amount of 21% lotion needed

Given

0.21x + 0.05(17 - x) > 2.55

Open the parenthesis

0.21x + 0.85-0.05x > 2.55

Collect like terms

0.21x-0.05x+0.85>2.55

0.16x+0.85>2.55

0.16x>2.55-0.85

0.16x > 1.7

x > 1.7/0.16

x > 10.625

Hence she will need 21% lotion approximately greater than 10 ounces