Source: Veritas Prep
Dan and Alex measure themselves against a tree in their backyard. The tree is 80% taller than Dan and 20% taller than Alex. Which of the following statements is true?
A. Dan is 60% taller than Alex.
B. Dan is 40% taller than Alex.
C. Alex is 33.3% taller than Dan.
D. Alex is 40% taller than Dan.
E. Alex is 50% taller than Dan.
The OA is E
Dan and Alex measure themselves against a tree in their
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Say the height of Dan is 100 ft, thus, the height of the tree = 180 feetBTGmoderatorLU wrote:Source: Veritas Prep
Dan and Alex measure themselves against a tree in their backyard. The tree is 80% taller than Dan and 20% taller than Alex. Which of the following statements is true?
A. Dan is 60% taller than Alex.
B. Dan is 40% taller than Alex.
C. Alex is 33.3% taller than Dan.
D. Alex is 40% taller than Dan.
E. Alex is 50% taller than Dan.
The OA is E
=> Height of Alex = Height of the tree / (120%) = 180 / 120% = 150 feet
Thus, Alex is taller than Dan by 150 - 100 = 50%.
The correct answer: E
Hope this helps!
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Since we need to establish a relationship between the height of Dan and Alex,
we need to bring both of their heights in similar terms.
Assume Dan's height to be 100 inches, making the tree's height 180 inches
Since its given the tree is 20% more than Alex.
Alex's height = 180/1.2 = 150 inches.
Alex's height is 50% more than Dan which is Option __E__ is the correct answer.
we need to bring both of their heights in similar terms.
Assume Dan's height to be 100 inches, making the tree's height 180 inches
Since its given the tree is 20% more than Alex.
Alex's height = 180/1.2 = 150 inches.
Alex's height is 50% more than Dan which is Option __E__ is the correct answer.
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We can let t = the tree's height, d = Dan's height, and a = Alex's height.BTGmoderatorLU wrote:Source: Veritas Prep
Dan and Alex measure themselves against a tree in their backyard. The tree is 80% taller than Dan and 20% taller than Alex. Which of the following statements is true?
A. Dan is 60% taller than Alex.
B. Dan is 40% taller than Alex.
C. Alex is 33.3% taller than Dan.
D. Alex is 40% taller than Dan.
E. Alex is 50% taller than Dan.
The OA is E
Since the tree is 80% taller than Dan:
t = 1.8d
t/1.8 = d
10t/18 = d
5t/9 = d
Since the tree is 20% taller than Alex:
t = 1.2a
t/1.2 = a
10t/12 = a
5t/6 = a
Since the tree is 80% taller than Dan and only 20% taller than Alex, we see that Alex is taller than Dan. Let's determine by how much, using the percent difference formula:
[(Alex's height - Dan's height)/Dan's height] x 100
[(5t/6 - 5t/9)/(5t/9)] x 100
[(15t/18 - 10t/18)/(10t/18)] x 100
(5t/18)/(10t/18) x 100
1/2 x 100 = 50%
Answer: E
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