Question

A fruit company delivers its fruit in 2 types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 79 kilograms. A delivery of 12 large boxes and 2 small boxes has a total weight of 199 kilograms. How much does each type of box weight

Answer 1

• 15.5 kg and 6.5 kg

Explanation:

Large boxes- l, small boxes - s,

Equations based on the given numbers:

• 3l + 5s = 79
• 12l + 2s = 199

Solve the system by elimination, multiply the first equation by 4 and subtract the second one:

• 4(3l + 5s) - 12l - 2s = 4*79 - 199
• 12l + 20s - 12l - 2s = 117
• 18s = 117
• s = 117/18
• s = 6.5

Find the value of l:

• 3l + 5(6.5) = 79
• 3l = 79 - 32.5
• 3l = 46.5
• l = 46.5/3
• l = 15.5