Question

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

Answer 1

450 baseball

Explanation:

According to the given information:

- Camila gave half of her cards to Erin, which means she gave away (1/2)*x cards.

- Camila also gave a sixth of her cards to her brother, which means she gave away (1/6)*x cards.

The total number of cards Camila gave away is:

(1/2)*x + (1/6)*x

To find out how many cards she has left, we subtract the cards she gave away from the total number she started with:

x - [(1/2)*x + (1/6)*x] = 150

Simplifying the equation:

x - (3/6)*x - (1/6)*x = 150

x - (4/6)*x = 150

(2/6)*x = 150

To solve for x, we multiply both sides of the equation by 6/2:

x = (150)*(6/2)

x = 450

Therefore, Camila started with 450 basketball cards.