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How do we determine how much each type of box weighs?

How do we determine how much each type of box weighs?-example-1
User Louis
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1 Answer

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SOLUTION

Let the weight of the large box be x

Let the weight of the small box be y

Since the combined weight of the boxes is 90 it follows:


x+y=90----1

The number of small boxes are 65 and the number of large boxes are 70 and the combined total pounds is 6025

This gives


65x+70y=6025------2

Solve the equation

Frrom equation 1


y=90-x------3

Substitute y=90-x into equation 2

This gives


65x+70\left(90-x\right)=6025

Solve the equation


\begin{gathered} 65x+6300-70x=6025 \\ -10x=6025-6300 \\ -5x=-275 \\ x=(-275)/(-5) \\ x=55 \end{gathered}

Substitute x=55 into equation 3


y=90-55

Calculate the value


y=35

Therefore the weight of the large box is 55

The weight of the small box is 35

User Twentyonehundred
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