Question

В цехе имелись токарные фрезерные и шлифовальные станки. токарные станки составляли 5/11 всех этих станков. число шлифовальных станков составляло2/5 числа токарных станков . сколько всего станков этих видов было в чехии если фрезерных станков было на 8 меньше чем токарных

Answer 1

Уравнением? Или по действиям?

Answer 2

Calculating the Total Number of Machines in the Workshop

To calculate the total number of machines of each type in the workshop, we can use the given information about the ratio of lathe, milling, and grinding machines.

Let's denote: - Number of lathe machines as L - Number of milling machines as M - Number of grinding machines as G

Given: - L = 5/11 * (L + M + G) (Number of lathe machines is 5/11 of the total machines) - G = 2/5 * L (Number of grinding machines is 2/5 of the number of lathe machines) - M = L - 8 (Number of milling machines is 8 less than the number of lathe machines)

We can use these equations to solve for the total number of each type of machine.

Solving for the Total Number of Machines

First, let's solve for the number of lathe machines (L): - L = 5/11 * (L + M + G) (Number of lathe machines is 5/11 of the total machines) - L = 5/11 * (L + (L - 8) + 2/5 * L) (Substitute M and G using the given relationships) - L = 5/11 * (L + L - 8 + 2/5 * L) (Simplify) - L = 5/11 * (1 + 1 - 8 + 2/5) * L (Combine like terms) - L = 5/11 * (2 + 2/5) * L (Simplify further) - L = 5/11 * (12/5) * L (Convert 2 to 10/5) - L = 60/55 * L (Multiply fractions) - 1 = 60/55 (Equating the coefficients of L)

This equation leads to a contradiction, indicating that the given information may not be consistent or accurate. Therefore, it's not possible to determine the exact total number of machines of each type in the workshop based on the provided information.