Question

На завод привезли партию станков. В первый цех поставили 76 станков, во второй в 2 раза меньше, а в третий на 32 станка меньше, чем во втором и четвертом вместе. сколько станков поставили в четвертом цеху , если всего 172 станка?

Answer 1

76/2=38 станка во второй цех,

пусть в четвертом цеху х станков, тогда

76+38+(х+38-32)+х=172,

120+2х=172,

2х=172-120,

х=52/2,

х=26 станков в четвертом цеху,

26+38-32=32 станка в третьем цех у

 

Answer 2

Problem Analysis

We are given the following information: - In the first workshop, 76 machines were installed. - In the second workshop, there were half as many machines as in the first workshop. - In the third workshop, there were 32 machines fewer than in the second workshop. - The total number of machines is 172.

We need to determine the number of machines installed in the fourth workshop.

Solution

Let's solve this problem step by step.

1. We know that the second workshop had half as many machines as the first workshop. So, the number of machines in the second workshop is 76 / 2 = 38 machines. 2. We also know that the third workshop had 32 machines fewer than the second workshop. So, the number of machines in the third workshop is 38 - 32 = 6 machines. 3. Now, we need to find the number of machines in the fourth workshop. We know that the total number of machines is 172. So, the number of machines in the fourth workshop can be calculated by subtracting the sum of machines in the first, second, and third workshops from the total number of machines.

Let's calculate: - Machines in the first workshop: 76 - Machines in the second workshop: 38 - Machines in the third workshop: 6

Total machines in the first three workshops: 76 + 38 + 6 = 120

Therefore, the number of machines in the fourth workshop is 172 - 120 = 52 machines.

Answer

The number of machines installed in the fourth workshop is 52.

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