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16 Jun 2018, 09:21
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
69% (02:41) correct
31%
(03:01)
wrong
based on 178
sessions
History
Date
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Result
Not Attempted Yet
Dwayne planted 70 acres with two types of beans: navy and pinto. Each acre of navy beans yielded 27 bushels and each acre of pinto beans yielded 36 bushels. If Dwayne grew twice as many bushels of pinto beans as navy beans, how many acres of pinto beans did he plant?
(A) 28
(B) 30
(C) 35
(D) 40
(E) 42
(A) 28
(B) 30
(C) 35
(D) 40
(E) 42
16 Jun 2018, 10:41
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Let the number of acres of beans be B and pinto be P
B + P = 70 -----> 1
2 * 27 B = 36 P ----->2
As we have to find P. Substitute the value of B from equation 2 in 1
(36/54)P + P = 70
Simplifying we get p = 42.
OA -E.
B + P = 70 -----> 1
2 * 27 B = 36 P ----->2
As we have to find P. Substitute the value of B from equation 2 in 1
(36/54)P + P = 70
Simplifying we get p = 42.
OA -E.
General Discussion
17 Jun 2018, 18:11
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Yep, E. Though I calculated it the other way around. XD
Let n be the acre of navy beans.
Let p be the acre of pinto beans.
(1) n + p = 70 (the acres of both beans added together must be 70)
<=> n = 70 - p
(2) 36p = 2*27n (acres of pinto beans * 36 bushels is twice the acres of navy beans * 27)
I substituted (1) into (2), only because I don't like working with fractions. I then got:
36p = 54 * (70 - p)
Before working it all on paper, I always want to see if it can be simplified to get to an easy answer. So this is how I worked it out:
36p = 54 * (70 - p)
<=> 36p = 54*70 - 54p
<=> 36p + 54p = 54*70
<=> 90p = 54*70
<=> p = 6*7 (see below for how this was gotten)
<=> p = 42
So 42 acres, and thus the answer is E.
From 90p = 54*70 to p = 6*7, I noticed that both 90 and 70 was a multiple of 10, so I reduced that to 9 and 7. Then, I just divided 54 by 9 to get 6. I think especially for those who struggles a bit more with quant calculations, always try to make the calculations easier for yourselves, even if it's something like what I did.
Let n be the acre of navy beans.
Let p be the acre of pinto beans.
(1) n + p = 70 (the acres of both beans added together must be 70)
<=> n = 70 - p
(2) 36p = 2*27n (acres of pinto beans * 36 bushels is twice the acres of navy beans * 27)
I substituted (1) into (2), only because I don't like working with fractions. I then got:
36p = 54 * (70 - p)
Before working it all on paper, I always want to see if it can be simplified to get to an easy answer. So this is how I worked it out:
36p = 54 * (70 - p)
<=> 36p = 54*70 - 54p
<=> 36p + 54p = 54*70
<=> 90p = 54*70
<=> p = 6*7 (see below for how this was gotten)
<=> p = 42
So 42 acres, and thus the answer is E.
From 90p = 54*70 to p = 6*7, I noticed that both 90 and 70 was a multiple of 10, so I reduced that to 9 and 7. Then, I just divided 54 by 9 to get 6. I think especially for those who struggles a bit more with quant calculations, always try to make the calculations easier for yourselves, even if it's something like what I did.
