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

Answer:

16 cards

Step-by-step 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 $\frac{1}{4}$ of the cards, meaning that 12 is $\frac{3}{4}$ of the amount of cards there originally were.

$\frac{12}{x} = \frac{3}{4}\\\\12\cdot4=48\\\\48\div3=16$

Hope this helped!