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# During a half-price sale, Ms. Ross bought a plant for the usual price

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Math Expert
Joined: 02 Sep 2009
Posts: 64172
During a half-price sale, Ms. Ross bought a plant for the usual price  [#permalink]

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07 Aug 2019, 00:46
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Difficulty:

15% (low)

Question Stats:

91% (00:51) correct 9% (02:35) wrong based on 32 sessions

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During a half-price sale, Ms. Ross bought a plant for the usual price and a second plant for one-half the usual price. If she paid \$1.80 for the two plants, what was the usual price of the plant?

(A) \$0.60
(B) \$0.50
(C) \$0.90
(D) \$1.20
(E) \$2.40

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Re: During a half-price sale, Ms. Ross bought a plant for the usual price  [#permalink]

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07 Aug 2019, 01:49
X = usual price of the plant
So, X + X/2=1.8\$
3x/2=1.8
X=6/5\$=1.2
Option D

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Re: During a half-price sale, Ms. Ross bought a plant for the usual price  [#permalink]

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12 Aug 2019, 10:56
Bunuel wrote:
During a half-price sale, Ms. Ross bought a plant for the usual price and a second plant for one-half the usual price. If she paid \$1.80 for the two plants, what was the usual price of the plant?

(A) \$0.60
(B) \$0.50
(C) \$0.90
(D) \$1.20
(E) \$2.40

Let n = the regular price of the plant. We can can create the following equation:

n + n/2 = 1.8

2n + n = 3.6

3n = 3.6

n = 1.2

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Re: During a half-price sale, Ms. Ross bought a plant for the usual price  [#permalink]

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14 Aug 2019, 02:50
If the usual price of the plant is 2x, one-half of it will be x.

Observe that, instead of just assuming the variable as ‘x’ all the time, it makes sense to pick variables based on the information given in the question.Having read the question, I know that I have to find half of some unknown value. So, naturally, I picked the unknown as 2x since half of this will be x.

This way, I don’t have to deal with unnecessary fractions during simplification.

Ms.Ross paid a total of \$1.80 for the plants. This means, 2x + x = 1.80, which gives us x = 0.60.

2x being the usual price of the plant, this comes out to be \$1.20. The correct answer option is D.

Hope this helps!
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Re: During a half-price sale, Ms. Ross bought a plant for the usual price   [#permalink] 14 Aug 2019, 02:50