Question

На автозаводі за тиждень виготовили 2928 автомобілів. Вантажних автомобілів утричи менше, ніж легкових, а машин спеціального призначення-на 108 більше, ніж вантажних. Скільки машин кожного виду було виготовлено?

Answer 1

Analysis:

To determine the number of each type of vehicle produced at the car factory, we need to solve a system of equations based on the given information. Let's denote the number of passenger cars as P, the number of trucks as T, and the number of special-purpose vehicles as S.

From the given information, we can form the following equations:

1. The total number of vehicles produced is 2928: P + T + S = 2928

2. The number of trucks is less than the number of passenger cars: T < P

3. The number of special-purpose vehicles is 108 more than the number of trucks: S = T + 108

We can solve this system of equations to find the values of P, T, and S.

Solution:

Let's solve the system of equations step by step.

From equation 3, we can substitute the value of S in equation 1:

P + T + (T + 108) = 2928

Simplifying the equation:

2P + 2T + 108 =