Student 1 sold 8 small candy bars and 12 large candy bars =$34. Student 2 sold 16 sm candy bars and 20 large=$58.75. How much are lg and sm candy bars?

Answer 1

8S + 12L = 34

16S + 20L = 58.75

multiply the 1st by 2 to get

16S + 24L = 68, subtract the 2nd to eliminate S and get

(24-20)L = 68-58.75 = 9.25

4L = 9.25

L=9.25/4 = 2.3125 = about $2.31 for a large candy bar

8S +12L =34

2S +3L = 8.5

2S = 8.5-3(2.31)

S = 1.5625/2 = .78125= about 78 cents for a small candy bar

8S = 34 -12L = 34 -12(2.3125) = 6.25

S = 6.25/8 = ,67125 = about 78 cents for a small candy bar

16S + 20L = 58.75

16(.78125) + 20(2.3125) = 12.5 + 46.25 = 58.75