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3 years ago

12

Find the missing number ___:7 = 12:21a.14b.12c.4d.3

1 answer:

Novay_Z [31]3 years ago

6 0

$x:7=12:21\to\dfrac{x}{7}=\dfrac{12}{21}\ \ \ |cross\ multiply\\\\21x=7\cdot12\\21x=84\ \ \ |divide\ both\ sides\ by\ 21\\\boxed{x=4}\\\\Other\ method:\\\dfrac{x}{7}=\dfrac{12}{21}\\\\21:7=\boxed3\to12:\boxed3=4\\\\\boxed{\frac{4}{7}=\frac{12}{21}\to4:7=12:21}$

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In a company, 80% of the workers are women. If 480 men work for the company, how many workers are there in all? Use pencil

nekit [7.7K]

Answer:

The total workers are<u> 2400.</u>

Step-by-step explanation:

Given:

In company 80% of the workers are women.

480 workers are men.

Now, to find the total workers in all.

<u><em>In first way:</em></u>

If women are 80%, then men would be 100-80 = 20%.

Let the total workers be $x$ .

According to question:

$20\%\ of \ x=480$

⇒ $\frac{20}{100} \times x=480$

⇒ $0.20\times x=480$

⇒ $0.20x=480$

Dividing both sides by 0.20 we get:

⇒ $x=2400$ .

Total workers = 2400.

<em><u>Now, in second way</u></em>.

Again, let the total workers be $x$ .

According to question:

$x-80\%\ of\ x=480$

⇒ $x-\frac{80}{100}\times x=480$

<em>On solving:</em>

⇒ $x-0.80x=480$

⇒ $0.20x=480$

<em>Dividing both sides by 0.20 we get:</em>

⇒ $x=2400$ .

<em>Total workers = 2400.</em>

Therefore, the total workers are <u>2400</u>.

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Meredith's goal is to read one library book each week. On the first night, she read 14 pages more than of the pages in the book.

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Step-by-step explanation:

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