document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013216>Question 1013216</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a basket factory,lan finished 5 baskets in 2 hours while joy finished 10 baskets in 3 hours. If they work at the same rate, how many baskets can they finish together in 12 hours?<BR>\n" );
document.write( "    Please help,cause i dont understand! my mom gonna suspend me help me. with solution pleaseeeeee </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629435 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=629435\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula to use is rate * time = quantity of work produced.\r<BR>\n" );
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document.write( "rate is the quantity of work produced per unit of time.\r<BR>\n" );
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document.write( "time is the amount of time taken to finish the work.\r<BR>\n" );
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document.write( "this formula means:\r<BR>\n" );
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document.write( "if you produce r units of work per unit of time and you work for t units of time, then you will produce q amount of work.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "if i can finish 3 baskets per hour and i work for 3 hours, then i will finish 9 baskets in those 3 hours.\r<BR>\n" );
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document.write( "in this problem, you are given that ian can finish 5 baskets in 2 hours.\r<BR>\n" );
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document.write( "the rate * time formula for him becomes:\r<BR>\n" );
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document.write( "r * 2 = 5\r<BR>\n" );
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document.write( "r is the number of baskets he can produce per hour.<BR>\n" );
document.write( "2 is the time in hours it took to finish the basket.<BR>\n" );
document.write( "5 is the number of baskets.\r<BR>\n" );
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document.write( "since you know time and quantity, you can solve for the rate.\r<BR>\n" );
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document.write( "start with r * 2 = 5<BR>\n" );
document.write( "divide both sides of the equation by 2 to get r = 5/2.<BR>\n" );
document.write( "ian's rate is finishing 5/2 baskets per hour.<BR>\n" );
document.write( "that's the same as 2.5 baskets per hour because 5/2 = 2.5.\r<BR>\n" );
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document.write( "joy finished 10 basket in 3 hours.<BR>\n" );
document.write( "the rate * time = quantity of work produce formula for her would be:<BR>\n" );
document.write( "r * 3 = 10<BR>\n" );
document.write( "solve for r to get r = 10/3.<BR>\n" );
document.write( "joy's rate is finishing 10/3 baskets per hour.<BR>\n" );
document.write( "that's the same as 3.333... because 10/3 = 3.333...\r<BR>\n" );
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document.write( "when they work together, their rates are additive.\r<BR>\n" );
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document.write( "ian's rate is 5/2 baskets per hour.<BR>\n" );
document.write( "joy's rate is 10/3 baskets per hour.\r<BR>\n" );
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document.write( "add these rates together and you get 5/2 + 10/3.<BR>\n" );
document.write( "if you multiply 5/2 by 3/3 you get 15/6.<BR>\n" );
document.write( "ifyou multiply 10/3 by 2/2 you get 20/6.<BR>\n" );
document.write( "now that you have common denominators,  you can add them together.<BR>\n" );
document.write( "5/2 + 10/3 = 15/6 + 20/6 = 35/6.<BR>\n" );
document.write( "their combined rate when they work together is 35/6 baskets per hour.<BR>\n" );
document.write( "the decimal equivalent of that is 5.833... baskets per hour.\r<BR>\n" );
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document.write( "the same rate * time formula is used only now you are using their combined rate rather than each individual's rate.\r<BR>\n" );
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document.write( "r * t = q<BR>\n" );
document.write( "r is the combined rate of 35/6 baskets per hour.<BR>\n" );
document.write( "t is the time in hours which is equal to 12.<BR>\n" );
document.write( "q is the number of baskets produced which remains at q because we don't know that is is just yet.\r<BR>\n" );
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document.write( "their combined formula becomes:<BR>\n" );
document.write( "35/6 * 12 = q\r<BR>\n" );
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document.write( "solve this equation for q and you get q = 70 baskets.\r<BR>\n" );
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document.write( "when they worked together for 12 hours at at their combined rate of 35/6 baskets per hour, they finished 70 baskets.\r<BR>\n" );
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document.write( "first you had to solve for the rate of each.<BR>\n" );
document.write( "then you had to add their rates together.<BR>\n" );
document.write( "then you had to apply that combine rate in the final equation.\r<BR>\n" );
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