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
1 answer:
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

Dividing both sides by 7

Putting c=38 in Eqn 2;

Putting c=38 in Eqn 1;

There are 152 men, 76 women and 38 children.
Keywords: linear equations, substitution method
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