Question

В автомобильном салоне продавали мотоциклы и мотоциклы с коляской. Максим пересчитал все рули и все колёса. Получилось 23 руля и 58 колес. Сколько мотоциклов с коляской продавали в салоне, если у каждого мотоцикла с коляской было запасное колесо?

Answer 1

6×4=24

17×2=34

24+34=58

Answer 2

Problem Analysis

In this problem, we are given that a car dealership sells motorcycles and motorcycles with sidecars. We are also given that Maxim counted all the handlebars and wheels in the dealership and found that there were 23 handlebars and 58 wheels. We need to determine how many motorcycles with sidecars were sold in the dealership, assuming each motorcycle with a sidecar has a spare wheel.

Solution

Let's assume that the number of motorcycles without sidecars is represented by the variable 'x', and the number of motorcycles with sidecars is represented by the variable 'y'. Since each motorcycle with a sidecar has a spare wheel, we can conclude that the number of spare wheels is equal to the number of motorcycles with sidecars, which is 'y'.

We are given that the total number of handlebars is 23, which can be represented by the equation: x + y = 23. (Equation 1)

We are also given that the total number of wheels is 58, which can be represented by the equation: 2x + 3y = 58. (Equation 2)

To solve this system of equations, we can use substitution or elimination. Let's use the elimination method.

Multiplying Equation 1 by 2, we get: 2x + 2y = 46. (Equation 3)

Subtracting Equation 3 from Equation 2, we get: 2x + 3y - (2x + 2y) = 58 - 46. Simplifying, we have: y = 12.

Therefore, the number of motorcycles with sidecars sold in the dealership is 12.

Answer

The number of motorcycles with sidecars sold in the car dealership is 12.