In a certain card game, for every 44 blue cards, there are 33 yellow cards. There are a total of 84 blue and yellow cards in the game.

How many blue cards are in the game

Use a proportion.

A ratio of 44 blue to 33 yellow is the same as a ratio of 4 blue to 3 yellow.

Since you are told the total of cards, 84, add 3 + 4 = 7

In the deck, the cards are int he ratio of 4 blue to 3 yellow to 7 total.

4 blue to 7 total = x blue to 84 total

4/7 = x/84

7x = 4 * 84

x = 4 * 12

x = 48

There are 48 blue cards.