SiobhanLedford
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

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?

Sagot :

chipperrider
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.

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,

[tex]x+(x+2)+(x+4)+(x+6)=32[/tex]

i.e. [tex]4x+12=32[/tex]

i.e. [tex]4x=20[/tex]

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.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.