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Sue planted 4 times as many apple seeds as she planted orang
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04 Dec 2017, 04:57
04 Dec 2017, 04:57
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45% (01:40) correct
54% (02:18) wrong based on 44 sessions
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Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
A. 540
B. 600
C. 660
D. 720
E. 760
Kudos for correct solution.
A. 540
B. 600
C. 660
D. 720
E. 760
Kudos for correct solution.
Re: Sue planted 4 times as many apple seeds as she planted orang
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04 Dec 2017, 21:34
04 Dec 2017, 21:34
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Bunuel wrote:
Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
A. 540
B. 600
C. 660
D. 720
E. 760
A. 540
B. 600
C. 660
D. 720
E. 760
Here,
No let orange be = x
therefore no. of Apple = 4x (as given)
or
0.15 (4x) + 0.1 x =420
or 0.6x + 0.1x = 420
or x = 600 oranges.
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Re: Sue planted 4 times as many apple seeds as she planted orang
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17 Apr 2020, 18:01
17 Apr 2020, 18:01
2
Expert Reply
workout wrote:
Sue planted 4 times as many apple seeds as she planted orange seeds. 15 percent of the apple seeds grew into trees, and 10 percent of the orange seeds grew into trees. If a total of 420 apple trees and orange trees grew from the seeds, how many orange seeds did Sue plant?
A) 540
B) 600
C) 660
D) 720
E) 760
A) 540
B) 600
C) 660
D) 720
E) 760
For word problems like this one, always focus on the actual question being asked: "How many orange seeds?" and see if we can rewrite things in terms of that value. That way we can work with one variable instead of two.
So, rewrite apple seeds as (4 * the number of orange seeds) or a = 4o.
Now, the total number of trees, 420, is just a percentage of the apple seeds + a percentage of the orange seeds:
15% of the apple seeds + 10% of the orange seeds = 420.
Doing the math, we have:
\( .15(4o) + .1(o) = 420\)
.\(6o + .1o = 420\)
\(.7o = 420 \)
\(o = 600\)
Answer: B
