Question

If I won 2 blue cards for every 3 grey cards I lost, and I won 8 blue cards altogether, what else is true?

A. I lost 12 grey cards.
B. I won 10 blue cards
C. I won 12 cards.
D. I lost 24 grey cards.

Answer 1

Your answer would be A because

3 grey = 2 blue
6 grey = 4 blue
9 grey = 6 blue
12 grey = 8 blue
Hope this helps you!

Answer 2

If you won 2 blue cards, then you lose 3 grey cards
If you won 4 blue cards, then you lost 6 grey cards (multiply by 2)
If you won 6 blue cards, then you lost 9 grey cards (multiply by 3)
If you won 8 blue cards, then you lost 12 grey cards (multiply by 4)

Answer: A) you lost 12 grey cards

Another way to see this answer is to solve the proportion below
2/3 = 8/x
2*x = 8*3
2x = 24
x = 24/2
x = 12