Question

divide 3232 among 16 men, 12 women, and 10 children so that ratio in the amounts received by a men. a women and a child is 7:5:3.
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Answer 1

Answer:

• 16 men = 1792
• 12 women = 960
• 10 children = 480

Explanation:

Here, we need to divided the amount 3232 in the ratio 7 : 5 : 3 among 16 men, 12 women, and 10 children.

Let's take the common ratio as x

Then,

• 16 men will get = 7x each
• 12 women will get = 5x each
• And 10 children will get = 3x each

Now,

Total amount 16 men will get = 7x*16 = 112x

And so on for,

12 women = 5x*12 = 60x

10 children = 3x*10 = 30x

According to the question,

⇒ 112x + 60x + 30x = 3232

⇒ 202x = 3232

⇒ x = 3232/202

⇒ x = 16

Hence, the actual share of :-

• 16 men = 7x*16 = 7(16)*16 = 1792
• 12 women = 5x*12 = 5(16)*12 = 960
• 10 children = 3x*10 = 3(16)*10 = 480

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Answer 2

The value of amount 3232 among 16 men, 12 women, and 10 children will  be 1792,960 and 480 respectively.

Step-by-step explanation:

Given:

The ratio in the amounts received by a men. a women and a child is 7:5:3.

To Find:

The value of amount 3232 among 16 men, 12 women, and 10 children.

Solution:

As given-the ratio in the amounts received by a men. a women and a child is 7:5:3.

Then, the amount received by a man = 7p

The amount received by a woman = 5p

The amount received by a child = 3p

p is a constant.

Since it is required to divide the amount among  16 men,12 women,10 children,

The amount  for 16 men $= 16 \times 7 p= 112 \ p$

The amount  for 12 women $=12 \times 5p = 60p$

The amount  for 10 children $=10 \times 3p = 30p$

The total amount which is  to be divided = 3232,

Then  $112p+60p+30p = 3232$

           $202p=3232$

            $p=\frac{3232}{202} =16$

Therefore,

The amount  for 16 men $= 16\times7p = 112 \times 16 = 1792$

The amount  for 12 women $= 12 \times 5p = 60 \times 16 = 960$

The amount  for 10 children $= 10 \times3p = 30\times 16 = 480$

Thus,the value of amount 3232 among 16 men, 12 women, and 10 children will  be 1792,960 and 480 respectively

PROJECT CODE#SPJ2