Question

You buy 6 health bars and 2 health drinks for $20. Your friend buys 5 health bars and 3 health drinks for $22. What is the cost of each health bar? and of each health drink?(2 points)
Each health bar costs $ ? and each health drink costs $ ?

Answer 1

Let b = price of a health bar and d = price of a health drink.

From the purchases:
6b + 2d = 20
5b + 3d = 22

Multiply the second by 2 and subtract from the first ×3:
(18b + 6d = 60) − (10b + 6d = 44) → 8b = 16 → b = 2.

Then 6(2) + 2d = 20 → 12 + 2d = 20 → d = 4.

Each health bar costs $2 and each health drink costs $4.