Question

Joseph shops for sugar at the grocery store. There are two types of sugar to choose from: a two-pound bag and a five-pound bag. If Joseph buys six two-pound bags and three five-pound bags, he will owe the store $24. If he buys three two-pound bags and one five-pound bag, he will owe the store $10. What is the price for a five-pound bag of sugar?

Answer 1

Answer:

$4

Explanation:

Let T = number of two pound sugar bags

and F = number of five pound sugar bags

6T + 3F = 24

3T + 1F = 10

F = 10 - 3T

replace in first equation

6T + [3 x (10 - 3T)] = 24

6T + 30 - 9T = 24

6 = 3T

T = $2

F = 10 - (3 X $2) = $10 - $6 = $4