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3 years ago

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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?

1 answer:

Genrish500 [490]3 years ago

7 0

Answer:

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

Step-by-step explanation:

Given as :

The total number of player including boys and girls = 18

And $\frac{1}{2}$ times girls player + $\frac{1}{3}$ 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

$\frac{1}{2}$ × G + $\frac{1}{3}$ × B= 7

or, $\frac{G}{2}$ + $\frac{B}{3}$ = 7 ...2

or, Put the value of B from eq 1

or, $\frac{G}{2}$ + $\frac{18 - G}{3}$ = 7

Or, $\frac{G}{2}$ - $\frac{G}{3}$ + 6 = 7

or, $\frac{3G - 2G}{6}$ = 7 - 6

Or, $\frac{G}{6}$ = 1

∴ G = 1 × 6 = 6

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

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