# Playing Cards

Kara has 2 times more cards than Dana, Dana has 4× less than Mary. Together they have 728 cards. How many cards has each of them?

Correct result:

K =  208
D =  104
M =  416

#### Solution:

$K = 2 D \ \\ D = M/4 \ \\ 728 = K+D+M \ \\ \ \\ D(1+2+4)=728 \ \\ D = \dfrac{ 728 }{ 7 } = 104 \ \\ \ \\ K = 2 \cdot D = 2 \cdot 104 = 208 \ \\ \ \\ M = 728 - K- D = 728 - 208 - 104 = 416$

K=2•D
D= M/4
728 = K+D+M

2D-K = 0
4D-M = 0
D+K+M = 728

D = 104
K = 208
M = 416

Calculated by our linear equations calculator.

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