Question

6 large boxes an 2 small boxes weighs 92 kilograms 3 large boxes and 5 small boxes weigh 71 kilograms how much does each type of box weigh

Answer 1

Large Box weighs

13.25 kg and Small box weighs 6.25 kg

Explanation:

Let the large box be L and small box be S

According to question,

6L + 2S = 92 kg .... (i)

and 3L + 5S = 71 kg ....(ii)

Subtracting we get,

3L - 3S = 21 kg

or L - S = 7 kg

or L = 7 + S kg ... (iii)

Now, putting the value of L in eqn (i) we get

6 (7+S) + 2S = 92 kg

or 42 + 6S + 2S = 92

or 8S = 50

or S = 50/8

or S = 6.25 Kg

Then, 6L + (2×6.25) = 92 kg

or, 6L = 92 - 12.5

or, L = 79.5/6

or, L = 13.25 kg