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If we have points (0,30) and (50,0) how many points on the

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rfrcuhetr1
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If we have points (0,30) and (50,0) how many points on the [#permalink] New post   18 Sep 2006, 09:52
If we have points (0,30) and (50,0) how many points on the line segment PQ have coordinates that are both integers?

Answer = 11



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Re: If we have points (0,30) and (50,0) how many points on the [#permalink] New post   18 Sep 2006, 09:59
I suggest that u do not give the answer since the start ;)

The equation of the line is : y = -3/5*x+30

Thus, all points between the 2 points such as described in the problem statment are represented by X growing from 0 to 50 with a step of 5.

Hence, answer is 50/5 + 1 = 11.
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Re: If we have points (0,30) and (50,0) how many points on the [#permalink] New post   Updated on: 18 Sep 2006, 10:13
Deleted... messed up this one...

Originally posted by haas_mba07 on 18 Sep 2006, 10:05.
Last edited by haas_mba07 on 18 Sep 2006, 10:13, edited 1 time in total.
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Re: If we have points (0,30) and (50,0) how many points on the [#permalink] New post   18 Sep 2006, 10:11
haas_mba07 wrote:
The slope of this line is 3/5 i.e. for every 5 value increase in x, there is a 3 value increase in y.

You can count the number of multiples of 3 between 0 and 30 as 10.

Including (0,0) there are 11 points.


Sorry haas_mba07... I think that the slope is negative : -3/5 and the point (0,0) is not included on the line :)
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Re: If we have points (0,30) and (50,0) how many points on the [#permalink] New post   18 Sep 2006, 10:12
*&%^... yep... you are right... I should just give up!! :(

Fig wrote:
haas_mba07 wrote:
The slope of this line is 3/5 i.e. for every 5 value increase in x, there is a 3 value increase in y.

You can count the number of multiples of 3 between 0 and 30 as 10.

Including (0,0) there are 11 points.


Sorry haas_mba07... I think that the slope is negative : -3/5 and the point (0,0) is not included on the line :)
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Re: If we have points (0,30) and (50,0) how many points on the [#permalink] New post   18 Sep 2006, 10:16
haas_mba07 wrote:
*&%^... yep... you are right... I should just give up!! :(

Fig wrote:
haas_mba07 wrote:
The slope of this line is 3/5 i.e. for every 5 value increase in x, there is a 3 value increase in y.

You can count the number of multiples of 3 between 0 and 30 as 10.

Including (0,0) there are 11 points.


Sorry haas_mba07... I think that the slope is negative : -3/5 and the point (0,0) is not included on the line :)


he he he ;) Break time simply ;)



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Re: If we have points (0,30) and (50,0) how many points on the [#permalink]
18 Sep 2006, 10:16
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