In a certain card game, For every four blue cards, there are three yellow cards. There are a total of 84 blue and yellow cards in the game how many blue cards are in the game

From the given above, t can be deduced that the number of blue cards in the set can be represented by 4x. In the same way, the number of yellow cards in the game can be expressed as 3x. The equation that would allow us to calculate for the number of each cards is,

4x + 3x = 84

The value of x from the equation is 12.

Blue cards: 4x = 4 (12) = 48 blue cards

Yellow cards: 3x = 3 (12) = 36 yellow cards

Hence, there are 48 blue cards in the game.