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If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (

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If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 28 May 2020, 11:06
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Question Stats:

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If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 28 May 2020, 11:28
2
sjuniv32 wrote:
If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4


Answer: B
20rxy+20sxy=100
20xy(r+s)=100
(20)xy(5)=100
xy=1
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 28 May 2020, 17:05
you can simplify by taking 20 xy common from the LHS which gives you 20xy( r+ s) = 100
dividing 20 on both sides xy ( r+s) = 5
r+s + 5 is given in the question stem and replacing it gives you xy(1)=5
which gives xy = 1
Answer B
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 29 May 2020, 08:36

Solution



Given
In this question, we are given that
    • 20rxy + 20sxy = 100 and r + s = 5

To find
We need to determine
    • The value of xy

Approach and Working out
From the equation 20rxy + 20sxy = 100, we can simplify and write
    • 20rxy + 20sxy = 100
    Or, 20xy (r + s) = 100
    Or, 20xy * 5 = 100
    Or, 100xy = 100
    Or, xy = 100/100 = 1

Thus, option B is the correct answer.

Correct Answer: Option B
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 29 May 2020, 08:54
sjuniv32 wrote:
If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4


Asked: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy?

20rxy + 20sxy = 100
r + s = 5

20xy(r+s) = 100
20xy*5 = 100
xy = 1

IMO B
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 29 May 2020, 10:55
sjuniv32 wrote:
If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4


20xy(r+s)=100
r+s= 5 (given)
20*5*xy= 100
100xy= 100
=>xy=1
Answer: B

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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (  [#permalink]

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New post 06 Jul 2020, 12:26
\(20rxy + 20sxy = 100\)
\(20xy(r+s)=100\)
\(20xy*5=100\)
\(100xy=100\)
\(xy=1\)
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Re: If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (   [#permalink] 06 Jul 2020, 12:26

If 20rxy + 20sxy = 100 and r + s = 5, what is the value of xy? (A) 0 (

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