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:

9a=3b 2c=44b  b=9/3a 2c=44b=44/3⋅9a  x=c/a=44/3⋅9/2=443⋅92 x=669 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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