in a flock of black and white sheep, 2 out of 5 sheep are white. if there are 8 more black sheep than white sheep, how many sheep are in the flock?

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in a flock of black and white sheep, 2 out of 5 sheep are white. if there are 8 more black sheep than white sheep, how many sheep are in the flock?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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as per the question for 1 more black sheep there are 2 white sheep thus the no. of white sheep=2*8=16 no of black sheep =2*8+8=24 thus the required no of sheep=16+24=40
  • hba
Ok I'll explain this as simply as possible- So to set this up as an equation, lets say the white sheep are x. Because this is a ratio problem, you need to set it up as a fraction. So because there are 8 more black sheep than there are white sheep, the radical will be x+8. Now the denominator has to be the total number of sheep, which will be x+8, the black sheep, +x, the white sheep, or 2x+8. Now your fraction will look like this: x+8 ----- 2x+8 Now you have to set this equal to the ratio of black sheep to the total number of sheep, which is 3:5 because the ratio of white sheep to the total number of sheep is 2:5. So now your equation will look like this: x+8 3 ------ = ----- 2x+8 5 So now you just have to cross multiply: 5(x+8)=3(2x+8) 5x+40=6x+24 -5x-24 -5x -24 16=x, so there are 16 white sheep. 16+8=24, so there are 24 black sheep, giving you a total of 40 sheep.
thanks guyssssss

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