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

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