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The ratio of the number of white beads to the number of black beads in a box was 3 : 5 at first . When 22 white beads were added to the box of beads, the ratio then became 4 : 3. How many black beads were there ?

 Apr 23, 2021
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Let the common ratio be \(x\) then, 

No. of white beads = \(3x\)

No. of black beads = \(5x\)

 

Now, according to question

 

\({3x+22 \over 5x}={4 \over 3}\)

\(9x+66=20x\)

\(11x=66\)

\(x=6\)

 

∴ There were 5*6 = 30 black beads.

 Apr 23, 2021

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