Question

A coed little league team had 18 players . Even though it was raining half the girls and one third of the boys showed up for the game , but theses 7 players went home when the game was canceled. How many girls were on the team?

Answer 1

The number of Girls players in the Team of 18 players is 6 .

Explanation:

Given as :

The total number of player including boys and girls = 18

And
`(1)/(2)` times girls player +
`(1)/(3)` times boys player = 7

Let The number of boys player = B

The number of girls player = G

So, According to question

G + B = 18 ...1

`(1)/(2)` × G +
`(1)/(3)` × B= 7

or,
`(G)/(2)` +
`(B)/(3)` = 7 ...2

or, Put the value of B from eq 1

or,
`(G)/(2)` +
`(18 - G)/(3)` = 7

Or,
`(G)/(2)` -
`(G)/(3)` + 6 = 7

or,
`(3G - 2G)/(6)` = 7 - 6

Or,
`(G)/(6)` = 1

∴ G = 1 × 6 = 6

Hence The number of Girls players in the Team of 18 players is 6 . Answer