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There were some black beads and white beads ina box. The number

of black beads was 2/5 of the number of white beads. After 12 black

beads and 44 white beads were taken out of the box, the number of

black beads left in the box was 2/3 of the number of white beads left in

the box. How many beads were left in the box?

 Sep 7, 2021
 #1
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35 beads left in the box

 Sep 7, 2021
 #2
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Show steps plz

Guest Sep 7, 2021
 #3
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Ok fine, here are the steps for the reason how I got 35 beads in the box

 

Let x and y be the number of black and white beads, respectively in the box initially.number of black beads was 2/5 of number of white beads

                     =>      x=2/5y -----(i)

After 12 black and 44 white beads were 

taken out of the box then remaining.black beads are x - 12 and remaining white beads are y - 44 in the box

we are given now (x-12) = 2/3 of (y-44)

 =>        x-12 = 2/3 (y-44)

 =>        x=2/3y-88/3+12 ----(ii)

 

from (i)  and  (ii) => 2/5y = 2/3y + -88+36/3

=>(2/5-2/3)y=-52/3 =>\({2(3-5)\over 15}y{}{}\) = -52/3

   =>          -4/15y = -52/3 => y = 13 * 5 = 65

then x = 2/5y = 2/5 * 13 * 5 = 26 now In the box

black remaining are x-12 = 26 - 12 = 14

white remaining are y-44 = 65 - 44 = 21

So there are 14 + 21 = \([35]\) beads left in the box

Guest Sep 10, 2021

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