Question

translate the word problem below into an equation, then solve. The medieval spice merchant wants to blend some garlic powder, which costs 38 cents per pound, with 7 pounds of ground pepper, which costs 44 cents per pound, to create a big batch of medieval smelling salt worth exactly 40 cents per pound. How many pounds of the garlic powder should he use?​

Answer 1

Explanation:

x = pounds of gralic powder

x + 7 = pounds of medieval smelling salt

(.38)(x) + (7)(.44) = (x + 7)(.40)

.38x + 3.08 = .40x + 2.80

.38x - .38x + 3.08 = .40x - .38x + 2.80

3.08 = .02x + 2.80

3.08 - 2.80 = .02x + 2.80 -2.80

.28 = .02x

.28/.02 = .02x/.02

14 = x

use 14 pounds of garlis powder