# Balls

The boys changed stamps, beads and balls. For 9 balls is 3 stamps, 2 balls is 44 stamps. How many beads is for 1 ball?

Result

x =  66

#### Solution:

$9 a = 3 b \ \\ 2 c = 44 b \ \\ \ \\ b = 9/3 a \ \\ 2 c = 44 b = 44/3 \cdot 9 a \ \\ \ \\ x = c/a = 44/3 \cdot 9/ 2 = \dfrac{ 44}{ 3} \cdot \dfrac{ 9}{ 2 } \ \\ x = 66$

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