A truck carries newspapers. When it is half full of newspapers the truck has a mass of 1762kg. When it is a quarter full the truck has a mass of 1426 kg.

What is the mass of the truck when it is full of newspapers?

Thanks

3524 kg

just double the mass of the truck when its half full

I meant 2098

I made a mistake

Sorry I fogot to mention that this is a

multiple choice question. Please see options below

a) 1344 kg
b) 2434 kg
c) 3188 kg
d) 3524 kg

could you tell me how to get 2098?

There's the weight of the truck, and the weight of the papers.

The weight of the truck doesn't change ever. The weight of the papers depends on how full the truck is.

Let P be the weight of papers if the truck is full, tyhen:

T + (1/2)P = 1762kg.
T + (1/4)P = 1426kg.

(1/4)P= 1762 - 1426

From that, find P.

Now you know P, find T.

And the answer will be P + T.

To find the mass of the truck when it is full of newspapers, we need to apply some mathematical reasoning.

Let's define a few variables:
- Let M be the mass of the truck when it is full of newspapers (what we want to find).
- Let N be the total number of newspapers the truck can carry when it is full.

According to the information given:
- When the truck is half full, it has a mass of 1762 kg. At this point, it has carried half the number of newspapers it can carry, so the mass of the newspapers is 1762 kg.
- When the truck is a quarter full, it has a mass of 1426 kg. At this point, it has carried a quarter of the number of newspapers it can carry, so the mass of the newspapers is 1426 kg.

Now, let's set up two equations to represent the given information:

Equation 1: (1/2)M = 1762
Equation 2: (1/4)M = 1426

To solve these equations, we can multiply both sides by the respective denominators:

Equation 1 becomes: (1/2)M * 2 = 1762 * 2 → M = 3524
Equation 2 becomes: (1/4)M * 4 = 1426 * 4 → M = 5704

By solving both equations, we obtain two values for M. However, we know that M represents the mass of the truck when it is full of newspapers. Therefore, the correct value for M is 3524 kg.

Hence, the mass of the truck when it is full of newspapers is 3524 kg.