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Answer
C is the total basketball cards that Jim have
Erin has : 1/2C = C/2
Brother has : 1/4C = C/4
Left : 75 cards
The expression will be:
C/2 + C/4 + 75 = C
C - C/2 - C/4 = 75
(4C - 2C - C)/4 = 75
4C - 3C = 75 x 4
C = ( 70 + 5 ) x 4
C = ( 70 x 4 ) + ( 5 x 4 )
C = 280 + 20
C = 300
So Jim started with 300 cards
He gave 150 cards to Erin : 300/2= 150
He gave his brother 75 cards : 300/4= 75
And he had left 75 cards : 300 - (150 + 75) = 300 - 225 = 75