Answer:
A large box is 18.5 and small is 15.5
Step-by-step explanation:
Answer:
Large box's weight = 18.5 kilogram
small box's weight = 6.5 kilogram
Step-by-step explanation:
We need to make equation to get the weigh of each box.
Let,
Large box = l
Small box = s
According to the question,
2l + 12s = 115 ........... (i)
Again, 5l + 3s = 112 ........ (ii)
From equation (i), we can say that,
or, 2l = 115 - 12s [changing the side]
or, l = [tex]\frac{115 - 12s}{2}[/tex] [divide both the sides by 2] ........ (iii)
Putting the value of "l" in equation (ii), we get,
5l + 3s = 112
or, 5 × [tex]\frac{115 - 12s}{2}[/tex] + 3s = 112
or, [tex]\frac{575 - 60s}{2}[/tex] + 3s = 112
or, [tex]\frac{575 - 60s + 6s}{2}[/tex] = 112
or, 575 - 54s = 112 × 2 [multiplying by 2]
or, 575 - 54s = 224
or, -54s = 224 - 575 [changing the side]
or, -54s = -351
or, s = [tex]\frac{-351}{-54}[/tex]
or, s = 6.5
Putting the value of "s" in equation (iii),
l = [tex]\frac{115 - 12*6.5}{2}[/tex]
or, l = [tex]\frac{115 - 78}{2}[/tex]
or, l = 37 ÷ 2
l = 18.5
Therefore, large box = 18.5 kilogram
small box = 6.5 kilogram
