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Pavlova-9 [17]
2 years ago
10

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 6 small boxes has a t

otal weight of 128 kilograms. A delivery of 5 large boxes and 3 small boxes has a total weight of 137 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
VLD [36.1K]2 years ago
7 0

Large box weighs 18.25 kilograms and small box weighs 15.25 kilograms.

Step-by-step explanation:

Let,

Large box = x

Small box = y

According to given statement;

2x+6y=128    Eqn 1

5x+3y=137     Eqn 2

Multiplying Eqn 2 by 2;

2(5x+3y=137)\\10x+6y=274\ \ \ \ Eqn\ 3

Subtracting Eqn 1 from Eqn 3

(10x+6y)-(2x+6y)=274-128\\10x+6y-2x-6y= 146\\8x=146

Dividing both sides by 8

\frac{8x}{8}=\frac{146}{8}\\x=18.25

Putting x=18.25 in Eqn 1

2(18.25)+6y=128\\36.5+6y=128\\6y=128-36.5\\6y=91.5

Dividing both sides by 6

\frac{6y}{6}=\frac{91.5}{6}\\y=15.25

Large box weighs 18.25 kilograms and small box weighs 15.25 kilograms.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/7287774
  • brainly.com/question/726990

#LearnwithBrainly

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