document.write( "Question 1209419: Hi
\n" ); document.write( "At a bakery the ratio of the number of lotus paste mooncakes to red bean paste mooncakes was 3 to 1 . The shop sold half of the total number of mooncakes. Out of the mooncakes sold,5/6 were lotus paste. In the end there were 24 red bean left. How many lotus paste were sold. Upon question review there is a big gap under the question I do apologise\r
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Algebra.Com's Answer #848779 by math_tutor2020(3817)\"\" \"About 
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\n" ); document.write( "x = starting number of red cakes
\n" ); document.write( "3x = starting number of lotus cakes
\n" ); document.write( "x+3x = 4x = starting number of cakes\r
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\n" ); document.write( "\n" ); document.write( "half of those are sold, so (1/2)*4x = 2x cakes are sold.
\n" ); document.write( "5/6 are lotus and 1/6 are red
\n" ); document.write( "(1/6)*2x = x/3 red cakes were sold
\n" ); document.write( "x-(x/3) = 2x/3 red cakes remain\r
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\n" ); document.write( "\n" ); document.write( "2x/3 = 24
\n" ); document.write( "2x = 24*3
\n" ); document.write( "2x = 72
\n" ); document.write( "x = 72/2
\n" ); document.write( "x = 36 red cakes is what the bakery started with
\n" ); document.write( "3x = 3*36 = 108 lotus cakes is what the bakery started with
\n" ); document.write( "36+108 = 144 total cakes to start with
\n" ); document.write( "0.5*144 = 72 cakes are sold\r
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\n" ); document.write( "\n" ); document.write( "(5/6)*72 = 60 lotus mooncakes were sold.
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