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The sum of 25 percent of 36 and 75 percent of 56 equals

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Bunuel
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The sum of 25 percent of 36 and 75 percent of 56 equals [#permalink] New post   22 May 2020, 05:54
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The sum of 25 percent of 36 and 75 percent of 56 equals

A. 23
B. 37
C. 41
D. 51
E. 69


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D
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The sum of 25 percent of 36 and 75 percent of 56 equals [#permalink] New post   22 May 2020, 05:59
Bunuel wrote:
The sum of 25 percent of 36 and 75 percent of 56 equals

A. 23
B. 37
C. 41
D. 51
E. 69


PS21230


\(\frac{25}{100}= \frac{1}{4}\)

\(\frac{75}{100}= \frac{3}{4}\)


\(\frac{1}{4}*36 + \frac{3}{4}*56 =\)
\(9 + 42 = 51\)

Answer D
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Re: The sum of 25 percent of 36 and 75 percent of 56 equals [#permalink] New post   22 May 2020, 06:02
=>> 36*1/4(25%) = 9
=>> + 56*3/4(75%) = 42
=>> Sum 9+42=51
Answer is B

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The sum of 25 percent of 36 and 75 percent of 56 equals [#permalink] New post   22 May 2020, 06:06
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Bunuel wrote:
The sum of 25 percent of 36 and 75 percent of 56 equals

A. 23
B. 37
C. 41
D. 51
E. 69


PS21230



Keep a note..
\(25%=\frac{1}{4}\)
\(50%=\frac{1}{2}\)
\(75%=\frac{3}{4}\)
\(33.33..%=\frac{1}{3}\)
\(66.66..%=\frac{2}{3}\)
\(12.5%=\frac{1}{8}\)

sum of 25 percent of 36 and 75 percent of 56=25% of 36+75% of 56=\(\frac{1}{4}*36+\frac{3}{4}*56=9+42=51\)

Just for those learning about Weighted average method. ;)
Here sum of 25 percent of 36 and 75 percent of 56 tells us that we are adding 1 part of 36 with 3 parts of 56, so weighted average tells us =>
\(36+\frac{56-36}{1+3}*3=36+\frac{20}{4}*3=36+15=51\)
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The sum of 25 percent of 36 and 75 percent of 56 equals [#permalink]
22 May 2020, 06:06
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