A group of 266 persons consists of men, women, and children. There are four times as many men as children, and twice as many women as children. How many of each are there?
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Step-by-step explanation:
M
÷
C
=
4
÷
1
W
÷
C
=
2
÷
1
Conclusion:
M
÷
W
÷
C
=
4
÷
2
÷
1
The sum of the ratios is
4
+
2
+
1
=
7
which means we can divide the total number into
266
÷
7
=
38
groups, each group having 1 child, 2 women and 4 men.
There will be
38
×
1
=
38
children
38
×
2
=
76
women
38
×
4
=
152
men
Note:
Another way would be to consider that
M
=
4
C
,
W
=
2
C
M
+
W
+
C
=
4
C
+
2
C
+
C
=
7
C
=
266
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