A group of 266 persons consist of men, women, and children. There are four times as many men as children. And twice as many wome

Question

3 years ago

7

n as children. How many of each are there

1 answer:

lara [203] · Answer 1 · 2022-05-17T11:40:27+03:00

There are 152 men, 76 women and 38 children.

Step-by-step explanation:

Total persons = 266

Let,

men = m

women = w

children = c

According to given statement;

m+w+c=266 Eqn 1

m = 4c Eqn 2

w = 2c Eqn 3

Putting value of m and w from Eqn 2 and 3 in Eqn 1

$4c+2c+c=266\\7c=266\\$

Dividing both sides by 7

$\frac{7c}{7}=\frac{266}{7}\\c=38$

Putting c=38 in Eqn 2;

$m=4(38)\\m=152$

Putting c=38 in Eqn 1;

$w=2(38)\\w=76$

There are 152 men, 76 women and 38 children.

Keywords: linear equations, substitution method

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