Answer:
Large box weighs 18.25 kilograms
Small box weighs 15.25 kilograms
Step-by-step explanation:
A fruit company delivers its fruit in two types of boxes: large and small.
Let x = weight of large box.
Let y = weight of small box.
A delivery of 3 large boxes and 5 small boxes has a total weight of 131 kilograms. This means
3x + 5y = 131 - - - - - - - - - - -1
A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms.
This means 6x + 2y = 140 - - - - - - - 2
Solving equation 1 and equation 2 by elimination method,
Multiply equation 1 by 6 and equation 2 by 3
18x + 30y = 786
18x +6y = 420
24y = 366
y = 366/24 = 15.25
Put y = 15.25 in equation 1
3x + 5× 15.25 = 131
3x + 76.25 = 131
3x = 131 - 76.25
3x = 54.75
x = 54.75/3 = 18.25
