Question

John and Alan have a collection of x baseball cards. John has x/4 cards. What fraction of the cards does Alan have?

A. x/3
B. 3x/4
C. 3/4
D. 3x

Answer 1

Answer: B.
`(3x)/(4)`

Explanation:

Given: The total number of cards John and Alan has = x

The number of cards John has =
`(x)/(4)`

Then to find the number of cards Alan has, we need to subtract the number of cards John has from the total number of cards.

Then, the number of cards John has =
`x-(x)/(4)`

⇒ The number of cards John has =
`(4x-x)/(4)`

⇒ The number of cards John has =
`(3x)/(4)`

Answer 2

The fraction of cards that Alan has is 3x/4. The correct answer is B.

x-x/4
4x-x/4
3x/4
he has 3x/4 cards