SOLUTION: The ratio of the males to females was 4 to 7. The ratio of the young to old was 5 to 9. If the number in the group was less than 200, how many people were in the group?
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-> SOLUTION: The ratio of the males to females was 4 to 7. The ratio of the young to old was 5 to 9. If the number in the group was less than 200, how many people were in the group?
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Question 980241: The ratio of the males to females was 4 to 7. The ratio of the young to old was 5 to 9. If the number in the group was less than 200, how many people were in the group? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! The ratio of the males to females was 4 to 7.
let x = the multiplier
then
4x = no. of boys
7x = no. of girls
and
11x = total in the group
:
The ratio of the young to old was 5 to 9.
let y = the multiplier
then
5y = no. of youngsters
9y = no. of oldsters
and
14y = total in the group
:
we know that two groups are the same number, therefore
14y = 11x
y =
has to be an integer
x = 14, then y = 11
:
If the number in the group was less than 200, how many people were in the group?
14*11 = 154
or
11*14 = 154 in the the group
:
