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# If 3P < 51 and 5P > 75, what is the value of the integer P?

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Re: If 3P < 51 and 5P > 75, what is the value of the integer P? [#permalink]
Explanation:
If we substitute the value P=15
then in the equation, 3P<51 :
3(15)<51 -> 45<51 which is true
But, 5P> 75 : 5(15) not strictly greater than 75

So, Possible answer from the given options is 16
Hope, It helps!
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Re: If 3P < 51 and 5P > 75, what is the value of the integer P? [#permalink]
Hey guys

Take the two equations given and divide both sides by the smaller number in each

3P < 51

P <$$\frac{51}{3}$$

P < 17

5P > 75

P >$$\frac{75}{5 }$$

P > 15

Combine the two equations:

15 < P < 17

We are told that P is an integer

The only integer between 15 and 17 is 16

The answer is (B)
Re: If 3P < 51 and 5P > 75, what is the value of the integer P? [#permalink]
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