Question

Ayden collects football, baseball, and Pokémon cards. He has four times as many baseball cards as football cards. His Pokémon cards contain 7 more cards than his baseball collection. If he has 106 cards all together, how many of each type does he have?

Answer 1

Answer: Ayden has 11 football cards,44 baseball cards and 51 Pokemon cards which totals  106 cards all together

Step-by-step explanation:

STEP 1 :

Let x represent number of football cards

He has four times as many baseball cards as football cards, let baseball cards be = 4x

Pokémon cards contain 7 more cards than his baseball collection,let Poke mon cards = 4x +7

Step 2 :

Putting in equation we have that

Football cards + Baseball cards + Pokemon cards = 106 cards

Therefore,

x + 4x + 4x+7 = 106

9x + 7 = 106

9x = 106-7

9x = 99

x =99/9 = 11

therefore football cards , x = 11 football cards

 baseball cards = 4x = 4 x 11 = 44 baseball cards

Pokemon cards = 4x+7= 4x11 +7 = 44 +7 =51 Pokemon cards