SiobhanLedford
Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Get immediate answers to your questions from a wide network of experienced professionals on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.