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In a flag football league, the male to female ratio is 3 : 5. If there are a total of 120 members in the league, how many males are in the league?

User Arkhivania
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1 Answer

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Notice that the ratio male to female is 3 : 5

which means 3 males per 5 females.

If there are 120 members, then to find the number of males, we need to use the fact that the ratio 3:5 means that if one has a TOTAL of 8 people, 3 are males and 5 are females.

Then the ratio of males to the TOTAL number of 8 people is: 3/8

We use this rate 3 males / 8 male&female to estimate how many males are in the 120 total number of members (males and females included)

We write the following proportion:

3 males / 8 m&f = X males / 120 m&f

we multiply by 120 on both sides in order to isolate the unknown (X number of males):

3 * 120 / 8 = X

that is:

X = 360 / 8

X = 45

Then there are 45 males in the total league members.

User Divyessh
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