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# In the figure above, how many of the points on line segment

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Senior Manager
Joined: 30 May 2005
Posts: 277
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Kudos [?]: 10 [0], given: 0

In the figure above, how many of the points on line segment [#permalink]  17 Jun 2005, 14:38
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In the figure above, how many of the points on line segment PQ have coordinates that are both integers?
(A) 5
(B) 8
(C) 10
(D) 11
(E) 20
the coordinate plan is on the attachment thanks
Senior Manager
Joined: 30 May 2005
Posts: 277
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Kudos [?]: 10 [0], given: 0

PS : the attachment [#permalink]  18 Jun 2005, 00:45
sorry : I Have forgotten to add it
Attachments

File comment: The FIgure
thefigure (13).doc [23.5 KiB]

VP
Joined: 30 Sep 2004
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slope of line is: -3/5x and y-intercept is 50. eq is y=-3/5x+50. insert all possible values from 0 to 50. you will see that there are 11 (0 included) that result in an integer for y. so its 11...
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VP
Joined: 14 Feb 2005
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y=-3/5x+50
This is incorrect

y=-3/5x+30 is the correct equation ( x/a+y/b =1 is the equation where a and b are x & y intercepts )

Cheers
Intern
Joined: 10 Jun 2005
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christoph wrote:
slope of line is: -3/5x and y-intercept is 50. eq is y=-3/5x+50. insert all possible values from 0 to 50. you will see that there are 11 (0 included) that result in an integer for y. so its 11...

y intercept is 30 not 50

so eq is y=-3/5x+ 30 so x has to be multiple of 5 <= 50 including 0 which gives answer as 11

So i think answer is 11
Senior Manager
Joined: 30 May 2005
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The equation of the line is x/50 + y/30 = 1

For PQ, x>0,y>0

3x+5y = 150

y = 30 - 3x/5

x needs to be a multiple of 5 (0,5,10...50) => 11 such points
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