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John and Alan have a collection of x baseball cards. John has x4 cards. What fraction of the cards does Alan have?

Respuesta :

Number of cards of John: J
Number of cards of Alan: A

John and Alan have a collection of x baseball cards:
J+A=x    (1)

John has x/4 cards:
J=x/4

What fraction of the cards does Alan have?

Replacing J by x/4 in the equation (1)
(1) J+A=x
x/4+A=x

Solving for A:
x/4+A-x/4=x-x/4
A=4x/4-x/4
A=(4x-x)/4
A=3x/4

Answer: Alan has 3/4 of the cards