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vfiekz [6]
3 years ago
10

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

otal weight of 67 kilograms. A delivery of 8 large boxes and 3 small boxes has a total weight of 166 kilograms. How much does each type of box weigh?
Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0
If a large box weighs x kgs and a small box weighs y kgs, we get 
2x+5y=67
8x+3y=166

Multiplying the first equation by -4 and adding it to the second, we get
-17y=-102. Dividing both sides by -17, we get y=6. Plugging it into the first equation , we get 2x+30=67 and 2x=37. Dividing by 2, x=18.5
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In fig if x+y=w+z then prove that AOB is a line.​
frez [133]

Answer:

As Given, x+y=w+z

To Prove: AOB is a line or x+y=180

∘

(linear pair.)

According to the question,

x+y+w+z=360

∘

∣ Angles around a point.

(x+y)+(w+z)=360

∘

(x+y)+(x+y)=360

∘

∣ Given x+y=w+z

2(x+y)=360

∘

(x+y)=180

∘

Hence, x+y makes a linear pair.

Therefore, AOB is a straight line

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