Question

There are 48 cards in a pack and each card is either red or black.

The ratio of the number of red cards to the number of black cards is 1 : 1
8 red cards are removed from the pack.
Find the ratio of the number of red cards now in the pack to the number
of black cards now in the pack.
Give your answer in its simplest form.

Answer 1

2 : 3

Explanation:

Given :

• Ratio of black cards and red cards = 1 : 1
• Total cards = 48

Solving :

• Let the cards be denoted by x
• x + x = 48
• x = 24 of each (red and black)

8 red cards have been removed from the pack.

So, now the ratio is :

• Red : Black = 24 - 8 : 24
• Red : Black = 16 : 24
• Red : Black = 2 : 3