document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824314>Question 824314</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need more detail solution:\r<BR>\n" );
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document.write( "A girl has orange, yellow and red sweets. She has exactly twice as many red than yellow sweets.<BR>\n" );
document.write( "After eating fourteen orange sweets, she has two less orange than yellow sweets. Also, the<BR>\n" );
document.write( "number of orange sweets now are 20% of the total number of sweets she had at the beginning.<BR>\n" );
document.write( "How many sweets did she have at the beginning? </SPAN>\n" );
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document.write( "A girl has orange, yellow and red sweets. <BR>\n" );
document.write( "number = o + y + r<BR>\n" );
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document.write( "She has exactly twice as many red as yellow.<BR>\n" );
document.write( "number = o + y + 2y = o+3y<BR>\n" );
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document.write( "After eating fourteen orange sweets, she has two less orange than yellow sweets.<BR>\n" );
document.write( "o-14 = y-2<BR>\n" );
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document.write( "Also, the number of orange sweets now are 20% of the total number of sweets she had at the beginning.<BR>\n" );
document.write( "o-14 = (1/5)(o+3y)<BR>\n" );
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document.write( "How many sweets did she have at the beginning?<BR>\n" );
document.write( "Using o-14 = (1/5)(o+3y) and o-14 = y-2 you get::<BR>\n" );
document.write( "5o-70 = o+3y<BR>\n" );
document.write( "4o - 3y = 70<BR>\n" );
document.write( "o = y+12<BR>\n" );
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document.write( "Solve for \"y\":<BR>\n" );
document.write( "4y+48-3y = 70<BR>\n" );
document.write( "y = 22 (# of yellow sweets)<BR>\n" );
document.write( "o = y + 12 = 34 (# of orange sweets)<BR>\n" );
document.write( "r = 2y = 44 (# of red sweets)<BR>\n" );
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document.write( "total number:: 22 + 34 + 44 = 100<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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