SOLUTION: There are double the number of boys playing basketball as girls. If there is a total of 78 players, how many boys and girls are playing.

Question 1072299: There are double the number of boys playing basketball as girls. If there is a total of 78 players, how many boys and girls are playing.
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
let b = number of boys
let g = number of girls.

b + g = 78

you are given that the number of boys playing basketball is double the number of girls playing basketball.

b = 2g

in b + g = 78, replace b with 2g to get 2g + g = 78.

combine like terms to get 3g = 78.

solve for g to get g = 78/3 = 26.

since b + g = 78, then b must be eual to 78 - 26 = 52.

52 + 26 = 78

52 = 2 * 26

all the requirements of the problem have been satisfied so the solution looks good.

number of boys is 52
number of girls is 26
total is 78.
number of boys is double the number of girls.

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