There are 4 semi-trailer trucks parked in a line at the rest stop. After the first truck, each truck in the line weighs 2 tons more than the truck before it. The trucks weigh a total of 32 tons. How many pounds does each truck weigh?

let the weight of the first truck be represented by w.

total weight = w + (2 + w) + (2 + 2 + w) + (2 + 2 + 2 + w)
32 = 4w + 12
20 = 4w
w = 5

Therefore, the first truck weighs 5 tons, the second weighs 7 tons, the third weighs 9 tons and the fourth weighs 11 tons.

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wagonbelleville wagonbelleville · Answer 2 · 2019-03-15T14:47:09-04:00

Answer:

The weights of the trucks are 5, 7, 9 and 11 tons respectively.

Step-by-step explanation:

Let the weight of first truck = x ( in tons ).

It is given that the weight of the trucks is increasing by 2 tons after the first truck.

So, we get,

Truck Weight

1 x

2 x+2

3 x+2+2 = x+4

4 x+4+2 = x+6

Since, the total weights of the trucks is 32 tons. We get,

\(x+(x+2)+(x+4)+(x+6)=32\)

i.e. \(4x+12=32\)

i.e. \(4x=20\)

i.e. x= 5

So, the weight of the first truck is 5 tons.

Then, we have,

The weight of 2nd truck = 5+2 = 7 tons

The weight of 2nd truck = 5+4 = 9 tons

The weight of 2nd truck = 5+6 = 11 tons

Hence, the weights of the trucks are 5, 7, 9 and 11 tons respectively.