Jake, Elijah, and Zaire had 65 Pokemon cards. Jake had two more cards than Elijah, and Elijah had three more cards than Zaire. How many cards did Jake have?

Respuesta :

Answer: Jake has 24 cards

Step-by-step explanation:

Let x represent the number of Pokemon cards that Elijah has.

Jake had two more cards than Elijah. It means that the number of cards that Jake has is x + 2

Elijah had three more cards than Zaire. It means that the number of cards that Zaire has is x - 3

Jake, Elijah, and Zaire had 65 Pokemon cards. It means that

x + x + 2 + x - 3 = 65

3x - 1 = 65

3x = 65 + 1 = 66

x = 66/3 = 22

The number of cards that Jake has is

x + 2 = 22 + 2 = 24

Answer:

24

Step-by-step explanation:

Given:

Total number of cards, T = 65

Let's take number of Elijah's cards as E

Jake's cards = J

Zaires's cards= Z

So we have,

J+E+Z = 65

We are told Jake had 2 more than Elijah=

J= E+2

Elijah had 3 more than Zaire. number of Zaire's card will be=

Z= E-3

We now have:

E+2+E-3+E = 65

3E = 65+1

3E = 66

E = 66/3

E=22

Number of Elijah's card is 22

We are told Jake had 2 more cards than Elijah. Therefore number of Jake's cards will be=

E + 2

= 22 + 2 = 24

Number of Jake's cards = 24