Question

Anna, Gina, and Ted divided up a box of post cards. Anna took one-fourth of the cards. Gina took half of what remained. Ted took the remaining 6 cards. How many cards were in the box?

Answer 1

12 * 4 = 48
48 \ 3= 16

Answer 2

16 cards

Explanation:

We can use logic to find out how many cards were in the beginning.

If Ted took 6 cards, and Gina took half of what remained, then when Gina took cards, she had
`6\cdot2=12` to choose from.

Now, Anna took
`(1)/(4)` of the cards, meaning that 12 is
`(3)/(4)` of the amount of cards there originally were.

`(12)/(x) = (3)/(4)\\\\12\cdot4=48\\\\48/3=16`

Hope this helped!