Question

на заводі у трьох цехах працює 626 робітників . у першому цеху працює у 2 рази більше людей ніж у другому, а в третьому на 142 робітника більше, ніж у друому.Скільки робітників працює в кожному цеху?

Answer 1

Given:

на заводі у трьох цехах працює 626 робітників . у першому цеху працює у 2 рази більше людей ніж у другому, а в третьому на 142 робітника більше, ніж у друому.

The plant employs 626 workers in three shops. in the first shop 2 times more people work than in the second, and in the third on 142 workers more, than in the second.

To find:

Скільки робітників працює в кожному цеху?

How many workers work in each shop?

Solution:

Let "x" represents the no. of workers in the second shop.

So,

No. of workers in the first shop = "2x"

and

No. of workers in the third shop = "x + 142"

The total no. of workers in all 3 shops = 626

As given in the question, we can form the equation as:

[1st shop workers] + [2nd shop workers] + [3rd shop workers] = 626

$\implies 2x + x + x + 142 = 626$

$\implies 4 x + 142 = 626$

$\implies 4 x = 626 - 142$

$\implies 4 x = 484$

$\implies x = \frac{484}{4}$

$\implies \bold{x = 121}$

∴ $2x = 2 \times 121 = 242$

∴ $x + 142 = 121 + 142 = 263$

Thus, the no. of workers working in each shop is:

$\boxed{\bold{1^s^t \:shop \rightarrow \underline{242}}}\\\\\boxed{\bold{2^n^d \:shop \rightarrow \underline{121}}}\\\\\boxed{\bold{3^r^d \:shop \rightarrow \underline{263}}}$

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