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# One plant grew 6 inches while a second plant grew 250% more than the

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Math Expert
Joined: 02 Sep 2009
Posts: 47064
One plant grew 6 inches while a second plant grew 250% more than the [#permalink]

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20 Mar 2018, 22:40
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Difficulty:

15% (low)

Question Stats:

78% (00:33) correct 22% (02:25) wrong based on 36 sessions

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One plant grew 6 inches while a second plant grew 250% more than the first plant grew. How much, in inches, did the second plant grow?

(A) 6
(B) 8
(C) 12
(D) 15
(E) 21

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Math Expert
Joined: 02 Sep 2009
Posts: 47064
Re: One plant grew 6 inches while a second plant grew 250% more than the [#permalink]

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20 Mar 2018, 22:42
Bunuel wrote:
One plant grew 6 inches while a second plant grew 250% more than the first plant grew. How much, in inches, did the second plant grow?

(A) 6
(B) 8
(C) 12
(D) 15
(E) 21

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One plant grew 6 inches while a second plant grew 250% more than the [#permalink]

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21 Mar 2018, 13:38
1
Bunuel wrote:
One plant grew 6 inches while a second plant grew 250% more than the first plant grew. How much, in inches, did the second plant grow?

(A) 6
(B) 8
(C) 12
(D) 15
(E) 21

10% more than A = (1 + .10) = 1.10A

If percent MORE is > 100, the method is the same: add the percentage in decimal form to 1

250 percent MORE than original =(1 + 2.5)=(3.5)
(original + 250% of original)
(original)*(1 + 2.50) = (original)*(3.5)

A grows 6 inches
B grows 250% more than A = 3.5A
(3.5) * 6 = 21 inches

OR
100% MORE than 6 = 12 (=twice)

200% MORE than 6 = 18 (=thrice)
50% MORE than 6 = 3 (=$$\frac{1}{2}$$ of 6 more)

(250%) = (200%+50%) = (18+3) = 21

*Percent OF means multiply:
10% of 100 = (.10) * 100 = 10
200% of 5 = (2) * 5 = 10

Percent MORE THAN and percent GREATER THAN
indicate addition after multiplication. Both mean:
add the given percent to the original number

You could find 250% of A=6 and add to original number
250% of 6?$$\frac{250}{100}=(\frac{5}{2}*6)=15$$
Add 15 to original: $$(15 + 6) = 21$$

250% more than A=(100% of A+250% of A)= 350% of A
250% more than A = (1A + 2.5A) = 3.5A
(3.5) * 6 = 21

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One plant grew 6 inches while a second plant grew 250% more than the   [#permalink] 21 Mar 2018, 13:38
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