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 Car

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?

 

Answer:

There are 48 blue cards in the card game.

Step-by-step explanation:

Ratio of blue cards to yellow cards  ⇒  4:3

Let the common factor for the ratio be x:

Blue: 4x

Yellow: 3x

Total cards: 48

Find the common factor, x:

4x + 3x = 84

7x/7 = 84/7

x = 12

Number of cards per color:

Blue cards: 4x ⇒ 4(12) = 48

Yellow cards: 3x ⇒ 3(12) = 36

There are 48 blue cards in the card game.

Check:

48 + 36 = 84

84 = 84  (True)