The load weighing 6.5 tons was transported on three trucks. the first and second trucks had 0.1 tons more than the third

The load weighing 6.5 tons was transported on three trucks. the first and second trucks had 0.1 tons more than the third, and the first – 1.5 tons more than the second. how many tons of cargo were on each truck separately.

We will solve this problem using the equation.

1. Let’s denote by x the mass of the cargo on the first truck.

2. Find the mass of the cargo on the second truck.

x – 1.5 t.

3. Let’s calculate the weight of the cargo on the first and second trucks together.

x + x – 1.5 = 2x – 1.5 tons.

4. Calculate the weight of the load on the third truck.

6.5 t – (2x – 1.5) t = 8 – 2x t.

5. Let’s compose and solve the equation.

2x – 1.5 – (8 – 2x) = 0.1;

4x = 9.6;

x = 2.4.

6. The mass of the cargo on the first truck is x = 2.4 tons.

7. Find the mass of the cargo on the second truck.

2.4 t – 1.5 t = 0.9 t.

8. Find the mass of the cargo on the third truck.

6.5 t – 2.4 t – 0.9 t = 3.2 t.

Answer: The first truck had 2.4 tons, the second 0.9 tons, and the third 3.2 tons of cargo.