document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1041802>Question 1041802</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.<BR>\n" );
document.write( "How much of each type of bean did she buy?<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "a. 1.5 lbs Kenya and 8.5 lbs French Roast<BR>\n" );
document.write( "b. 4 lbs Kenya and 6 lbs French Roast<BR>\n" );
document.write( "c. 3 lbs Kenya and 7 lbs French Roast<BR>\n" );
document.write( "d. 2.5 lbs Kenya and 7.5 lbs French Roast\r<BR>\n" );
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document.write( "Identify the chart that accurately displays the information and will help you solve the problem.\r<BR>\n" );
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document.write( "How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound?\r<BR>\n" );
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document.write( "Select one:<BR>\n" );
document.write( "a.<BR>\n" );
document.write( "Total cost ($)	=	Price ($/pound)	*	Amount (pounds)<BR>\n" );
document.write( "Walnuts	7.6x	=	7.60	*	x<BR>\n" );
document.write( "Cashews	72.00	=	12.00	*	6<BR>\n" );
document.write( "Total Mix	9.25(6x)	=	9.25<BR>\n" );
document.write( "*	6x<BR>\n" );
document.write( "b.<BR>\n" );
document.write( "Total cost ($)	=	Price ($/pound)	+<BR>\n" );
document.write( "Amount (pounds)<BR>\n" );
document.write( "Walnuts	x+7.6	=	7.60	+<BR>\n" );
document.write( "x<BR>\n" );
document.write( "Cashews	18<BR>\n" );
document.write( "=	12.00	+<BR>\n" );
document.write( "6<BR>\n" );
document.write( "Total Mix	9.25+(x + 6)	=	9.25	+<BR>\n" );
document.write( "x + 6<BR>\n" );
document.write( "c.<BR>\n" );
document.write( "Total cost ($)	=	Price ($/pound)	*	Amount (pounds)<BR>\n" );
document.write( "Walnuts	45.60<BR>\n" );
document.write( "=	7.60	*	6<BR>\n" );
document.write( "Cashews	12x 	=	12.00	*	x <BR>\n" );
document.write( "Total Mix	9.25(x + 6)	=	9.25<BR>\n" );
document.write( "*	x + 6<BR>\n" );
document.write( "d.<BR>\n" );
document.write( "Total cost ($)	=	Price ($/pound)	*	Amount (pounds)<BR>\n" );
document.write( "Walnuts	7.6x	=	7.60	*	x<BR>\n" );
document.write( "Cashews	72.00	=	12.00	*	6<BR>\n" );
document.write( "Total Mix	9.25(x + 6)	=	9.25	*	x + 6\r<BR>\n" );
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document.write( "How many pounds of walnuts that cost $7.60 per pound must be mixed with 6 pounds of cashews that costs $12 per pound to make a mixture of nuts that costs $9.25 per pound?<BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "a. 10.5 pounds<BR>\n" );
document.write( "b. 10 pounds<BR>\n" );
document.write( "c. 8 pounds<BR>\n" );
document.write( "d. 12 pounds\r<BR>\n" );
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document.write( "A chemist needs 40 liters of 20% acid solution. She has containers of 10% solution and 40% solution.\r<BR>\n" );
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document.write( "How many liters of each should she combine to get the needed solution?\r<BR>\n" );
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document.write( "Select one:<BR>\n" );
document.write( "a. 26 liters of the 10% solution, and 14 liters of the 40% solution<BR>\n" );
document.write( "b. 12 liters of the 10% solution, and 28 liters of the 40% solution<BR>\n" );
document.write( "c. 26 2/3  liters of the 10% solution, and 13 1/3  liters of the 40% solution<BR>\n" );
document.write( "d. 20 liters of the 10% solution, and 20 liters of the 40% solution\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #656713 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=656713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Eva created a coffee blend for her restaurant by mixing Kenya and French Roast coffee beans. The Kenya beans cost $15 per pound and the French Roast costs $8 per pound. She bought a total of 10 pounds of coffee for a total of $97.50.<BR>\n" );
document.write( "How much of each type of bean did she buy?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "value + value = value<BR>\n" );
document.write( "15x + 8(10-x) = 97.5<BR>\n" );
document.write( "7x = 17.5<BR>\n" );
document.write( "x = 2.5 lbs (amt. of Kenya beans)<BR>\n" );
document.write( "10-x = 7.5 lbs (amt of French Roast beans)<BR>\n" );
document.write( "------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "Identify the chart that accurately displays the information and will help you solve the problem. <BR>\n" );
document.write( "How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (cost: $12 per pound) to make a mixture of nuts that costs $9.25 per pound? <BR>\n" );
document.write( "Select one:<BR>\n" );
document.write( "value + value = value<BR>\n" );
document.write( "Note: 7.6x + 12*6 = 9.25*(x+6)<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "760x + 1200*6 = 925*x + 925*6<BR>\n" );
document.write( "-165x = -275*6<BR>\n" );
document.write( "x = 10 lbs (amt. of walnuts needed)<BR>\n" );
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document.write( "A chemist needs 40 liters of 20% acid solution. She has containers of 10% solution and 40% solution. <BR>\n" );
document.write( "How many liters of each should she combine to get the needed solution?<BR>\n" );
document.write( "acid + acid = acid<BR>\n" );
document.write( "0.10x + 0.40(40-x) = 0.20*40<BR>\n" );
document.write( "Multiply thru by 100 to get:<BR>\n" );
document.write( "10x + 40*40 - 40x = 20*40<BR>\n" );
document.write( "-30 x = -20*40<BR>\n" );
document.write( "x = 26 2/3 liters (amt. of 10% needed)<BR>\n" );
document.write( "40-x = 13 1/3  liters (amt of 40% needed)<BR>\n" );
document.write( "--------------------- <BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );