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Helga [31]
3 years ago
13

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a t

otal weight of 102 kilograms. A delivery of 3 large boxes and 8 small boxes has a total weight of 153 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
nikdorinn [45]3 years ago
4 0

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102      Eqn 1

3x+8y=153      Eqn 2

Multiyplying Eqn 1 by 4

4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255

Dividing both sides by 17

\frac{17x}{17}=\frac{255}{17}\\x=15

Putting x=15 in Eqn 2

15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108

Dividing both sides by 8

\frac{8y}{8}=\frac{108}{8}\\y=13.5

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

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Hope that helps! Feel free to leave a comment or send me a message if I can clarify anything :)


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