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The number of timeshare condos available at Sunset Beach is 3/5 the

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The number of timeshare condos available at Sunset Beach is 3/5 the [#permalink]

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New post 23 Feb 2016, 02:50
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Question Stats:

84% (00:53) correct 16% (01:27) wrong based on 58 sessions

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The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?

A. 60
B. 90
C. 120
D. 150
E. 240


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[Reveal] Spoiler: OA

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The number of timeshare condos available at Sunset Beach is 3/5 the [#permalink]

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New post 23 Feb 2016, 10:34
Bunuel wrote:
The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?

A. 60
B. 90
C. 120
D. 150
E. 240


Kudos for correct solution.

Let x be the number of timeshare condos available at Playa del Mar.
Then number of timeshare condos available at Sunset Beach = 3/5x

We know, x + 3/5 x = 240
Hence, x = 150. So, number of timeshare condos available at Playa del Mar = 150
the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar = x - 3/5x = 2/5x = 2/5(150) = 60

The correct answer is A.

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Re: The number of timeshare condos available at Sunset Beach is 3/5 the [#permalink]

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New post 23 Feb 2016, 12:43
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Condos on palaya be x
Condos on sunset be 3x/5
Total=240
8x/5=240
X=150
3x/5= 90
Difference 60
Ans:a

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Re: The number of timeshare condos available at Sunset Beach is 3/5 the [#permalink]

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New post 12 Nov 2017, 08:25
Bunuel wrote:
The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?

A. 60
B. 90
C. 120
D. 150
E. 240


We can let the the number of available condos at Sunset Beach = b and the number available at Playa del Mar = p.

We can create the following equations:

b = 3p/5

and

b + p = 240

Thus:

3p/5 + p = 240

Multiplying by 5, we have:

3p + 5p = 1200

8p = 1200

p = 150

Thus, b = 3(150)/5 = 90, so the difference is 150 - 90 = 60.

Answer: A
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Re: The number of timeshare condos available at Sunset Beach is 3/5 the [#permalink]

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New post 12 Nov 2017, 08:58
Bunuel wrote:
The number of timeshare condos available at Sunset Beach is 3/5 the number of timeshare condos available at Playa del Mar. If the total number of timeshare condos available at the two beaches combined is 240, what is the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar?

A. 60
B. 90
C. 120
D. 150
E. 240


Kudos for correct solution.


Let the number of timeshare condos available at Playa del Mar be 5
So, the number of timeshare condos available at Sunset Beach is 3

Thus, the total number of timeshare condos available at the two beaches combined is 8 , which is equivalent to 240

So, the difference between the number of condos available at Sunset Beach and the number of condos available at Playa del Mar will be

\(\frac{(5-3)}{8}*240\)

= \(60\), answer must be (A)
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Re: The number of timeshare condos available at Sunset Beach is 3/5 the   [#permalink] 12 Nov 2017, 08:58
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