A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratioof rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains thesame number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewesin the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of ramsto ewes in the third pen?a)8/7b)2/3c)1/2d)3/12e)1/6Correct answer is option 'A'. Can you explain this answer?

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A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratio of rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains the same number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewes in the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of rams to ewes in the third pen?

a)
8/7
b)
2/3
c)
1/2
d)
3/12
e)
1/6

Correct answer is option 'A'. Can you explain this answer?

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A certain farm has a group of sheep, some of which are rams (males) an...

It is important to remember that if the ratio of one group to another is x:y, the total number of objects in the two groups together must be a mult iple of x + y. So since the ratio of rams to ewes on the farm is 4 to 5, the total number of sheep must be a mult iple of 9 (4 parts plus 5 parts). And since the ratio of rams to ewes in the first pen is 4 to 11, the total number of sheep in the first pen must be a mult iple of 15 (4 parts plus 11 parts). Since the number of sheep in each pen is the same, the total number of sheep must be a mult iple of both 9 and 15.

If we assume that the total number of sheep is 45 (the lowest common mult iple of 9 and 15), the number of rams is 20 and the number of ewes is 25 (ratio 4:5).
45/3 = 15, so there are 15 sheep in each pen. Therefore, there are 4 rams and 11 ewes in the first pen (ratio 4:11). This leaves 20 - 4 = 16 rams and 25 - 11 = 14 ewes in the other two pens. Since the second and third pens have the same ratio of rams to ewes, they must have 16/2 = 8 rams and 14/2 = 7 ewes each, for a ratio of 8:7 or 8/7.
Alternatively, we can answer the question algebraically.
Since the ratio of rams to ewes in the first pen is 4:11, let the number of rams in the first pen be 4x and the number of ewes be 11x. Let r be the number of rams in the second pen and let e be the number of ewes in the second pen. Since the number of sheep in each pen is the same, we can construct the following equat ion: 4x + 11x = r + e, or 15x = r + e.
Since the number of sheep in each pen is the same, we know that the number of rams in the second and third pens together is 2r and the number of ewes in the second and third pens together is 2e. Therefore, the total number of rams is 4x + 2r. The total number of ewes is 11x + 2e. Since the overall rat io of rams to ewes on t he farm is 4:5, we can construct and simplify the following equation:

We can find the ratio of r to e by setting the equat ions we have equal to each other. First, though, we must multiply each one by coefficients to make them equal the same value:

Since both equations now equal 120x, we can set them equal to each other and simplify:

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A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratioof rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains thesame number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewesin the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of ramsto ewes in the third pen?a)8/7b)2/3c)1/2d)3/12e)1/6Correct answer is option 'A'. Can you explain this answer?

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A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratioof rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains thesame number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewesin the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of ramsto ewes in the third pen?a)8/7b)2/3c)1/2d)3/12e)1/6Correct answer is option 'A'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratioof rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains thesame number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewesin the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of ramsto ewes in the third pen?a)8/7b)2/3c)1/2d)3/12e)1/6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A certain farm has a group of sheep, some of which are rams (males) and the rest ewes (females). The ratioof rams to ewes on the farm is 4 to 5. The sheep are divided into three pens, each of which contains thesame number of sheep. If the ratio of rams to ewes in the first pen is 4 to 11, and if the ratio of rams to ewesin the second pen is the same as that of rams to ewes in the third, which of the following is the ratio of ramsto ewes in the third pen?a)8/7b)2/3c)1/2d)3/12e)1/6Correct answer is option 'A'. Can you explain this answer?.

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