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stiks02 [169]
3 years ago
7

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

n as children. How many of each are there
Mathematics
1 answer:
lara [203]3 years ago
8 0

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

Learn more about linear equations at:

  • brainly.com/question/3820433
  • brainly.com/question/3852778

#LearnwithBrainly

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