In a certain card game, for every 4 blue cards, there are 3 yellow cards. There are a total of 84 blue and yellow cards in the game. How many blue cards are in the game? blue cards

There are 48 blue cards and 36 yellow cards

Solution:

Given that,

In a certain card game, for every 4 blue cards, there are 3 yellow cards

Therefore,

Ratio is given as:

blue card : yellow card = 4 : 3

Let the number of blue card = 4x

Let the number of yellow card = 3x

There are a total of 84 blue and yellow cards in the game

Therefore,

4x + 3x = 84

7x = 84

x = 12

Therefore,

number of blue card = 4x = 4 (12) = 48

number of yellow card = 3x = 3 (12) = 36

Thus there are 48 blue cards and 36 yellow cards