A farmer with 1,350 acres of land had planted his fields with corn, su

Question

A farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 5:3:1, respectively, but he wanted to make more money, so he shifted the ratio to 2:4:3, respectively. How many more acres of land were planted with tobacco under the new system?

A. 90
B. 150
C. 270
D. 300
E. 450

A. 90
B. 150
C. 270
D. 300
E. 450

Senthil1981 · Answer

Before shifting , the tobacco was  \frac{1}{(5+3+1)} = \frac{1}{9}  of 1,350
After shifting, tobacco became \frac{3}{(2+4+3)} = \frac{3}{9}

so the increase is (\frac{3}{9} - \frac{1}{9}) *1,350 = 300  acres. Answer is D

+1 for kudos

msk0657 · Answer

Another method :

We have ratio in 5:3:1 and this is shifted to 2:4:3 ( C:S:T )

If we observe the ratio of the tobacco increased by 2 times (3-1)

T = 1/9*1350 = 150.

Since tobacco increased by 2 times..we get 150*2 = 300.

IMO D is the answer..

David H · Answer

So just to check all the boxes we know that there are three plants, the farmer is not introducing any more plants, and that the ratios are all the same (5 + 3 + 1 = 9 and 2 + 4 + 3 = 9) so we don't have to worry about rearranging. We're only looking for the change in the acres dedicated to tobacco so the way I did it was by dividing 1350 by 9, to get 150, and then multiply it by the difference in the ratio of acreage of tobacco plants. We know that 3 - 1 = 2, so 2 is the factor we would multiply 150 by, and we'd get 300.

Answer is D.

Answer is D.

generis · Answer

A ratio - multiplier approach is quick, too.

Number of acres of tobacco in  first scenario :

Cn: Sg: T
5x: 3x: 1x

Total of ratio parts: 
5x + 3x + 1x = 9x
The multiplier is x
9x = 1350 acres
x = 150 acres

Tobacco = 1x = 
(1*150) = 150 acres

Second scenario 
Cn: Sg: T
2x: 4x: 3x

Sum of ratio parts still = 9x
Total # of acres still = 1350
So x still = 150
Tobacco = 3x = 
(3*150) = 450 acres

How many more acres of tobacco in new system?
450 - 150 = 300

Answer D

bumpbot · Answer

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A farmer with 1,350 acres of land had planted his fields with corn, su

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