document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208101>Question 1208101</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A math assessment question I need to understand.\r<BR>\n" );
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document.write( "Logan is making chocolate chip cookies. He found a recipe that makes<BR>\n" );
document.write( "40 cookies and calls for 1 and 1/3 cups of chocolate chips.  If he<BR>\n" );
document.write( "wants to make 70 cookies, which equation correctly calculates how <BR>\n" );
document.write( "many cups of chocolate chips Logan will need?\r<BR>\n" );
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document.write( "a). 1 and 3/4 x  1 and 1/3 = 15/12 =  1 and 1/4 cups\r<BR>\n" );
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document.write( "b). 1 and 1/2 x  1 and 1/3 = 12/6  =  2 cups\r<BR>\n" );
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document.write( "c). 1 and 4/7 x  1 and 1/3 = 44/21 =  2 and 2/21 cups\r<BR>\n" );
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document.write( "d). 1 and 3/4 x  1 and 1/3 = 28/12 =  2 and 1/3 cups </SPAN>\n" );
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document.write( "Answer:  <font color=red>choice D</font> \r<BR>\n" );
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document.write( "Explanation\r<BR>\n" );
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document.write( "The recipe Logan found yields 40 cookies.<BR>\n" );
document.write( "He instead wants 70 cookies.<BR>\n" );
document.write( "70/40 = 7/4 = 1 & 3/4 is the ratio or scale factor we need to apply to scale up the recipe.\r<BR>\n" );
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document.write( "As a simpler example, let's say he wanted to make 80 cookies. That means he'd need to double each portion since 80/40 = 2.<BR>\n" );
document.write( "Or if he wanted 120 cookies, then he needs to triple each ingredient since 120/40 = 3.<BR>\n" );
document.write( "And so on.\r<BR>\n" );
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document.write( "Anyways back to 1 & 3/4.<BR>\n" );
document.write( "Based on this value, the answer is between choices A and D.\r<BR>\n" );
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document.write( "1 & 3/4 = 7/4<BR>\n" );
document.write( "1 & 1/3 = 4/3<BR>\n" );
document.write( "(7/4)*(4/3) = (7*4)/(4*3) = 28/12 = 7/3 = 2 & 1/3\r<BR>\n" );
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document.write( "The result 28/12, along with 2 & 1/3, point us to <font color=red>choice D</font> as the final answer.\r<BR>\n" );
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document.write( "Another approach would be to use a calculator<BR>\n" );
document.write( "(7/4)*(4/3) = 2.3333... where the 3's go on forever.<BR>\n" );
document.write( "This matches with 2 & 1/3 = 2 + (1/3) = 2 + 0.3333... = 2.3333...\r<BR>\n" );
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document.write( "which helps confirm that the answer is <font color=red>choice D</font> <BR>\n" );
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