Answer:
The weight of large box = 13.75 kilograms
the weight of small box = 6.5 kilograms
Step-by-step explanation:
Given:
delivery of 2 large boxes and 3 small boxes has a total weight of 47 kilograms
delivery of 6 large boxes and 5 small boxes has a total weight of 115 kilograms.
Let x be the weight of large box
and y be the weight of small box
Make equation from the given information
2(weight of large box) + 3(weight of small box) = 47
2x + 3y = 47 -----------> equation 1
Do the same and make one more equation
6x + 5y = 115-----------> equation 2
Now we solve both equation using elimination method
Multiply the first equation by 3
6x + 9y = 141
6x + 5y = 115 (subtract both equations)
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4y = 26
divide both sides by 4
So y= 6.5
Now plug in 6.5 for y and find out x
2x+3y = 47
2x + 3(6.5) = 47
2x + 19.5 = 47 (subtract 19.5 on both sides)
2x = 27.5
divide both sides by 2
x = 13.75
The weight of large box = 13.75 kilograms
the weight of small box = 6.5 kilograms
