Question

Camila had a large collection of basketball cards. She gave half of them to her friend Erin and a sixth of them to her brother. She still has 150 cards left. How many cards did she start with ?

Answer 1

450 Camila started with 450 cards. She gave Erin half of them (225) and her brother a sixth of them (75). She was left with 150 cards (450 - 225 - 75 = 150). If x = number of cards Camila started with, then x/2 = half the cards and x/6 = one sixth of the cards. 150 = number of cards left. This can be represented as: x - x/2 - x/6 = 150 Multiply by 6 and solve for x 6x - 3x -x = 900 2x = 900 x = 450 = number of cards Camila started with