document.write( "Question 95959: i have never been good at word problems i dont understand them i read and read the problem but i do not get it. I've never understood percent` either.\r
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document.write( "Arlene wishes to invest $5000. If she invest part at 7% simple enterest, part at 6%, and receives a total of $332 after one year, how much does she invest at each rate?\r
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document.write( "please help me. thank you \n" );
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Algebra.Com's Answer #69903 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Arlene wishes to invest $5000. If she invest part at 7% simple enterest, part at 6%, and receives a total of $332 after one year, how much does she invest at each rate? \n" ); document.write( ": \n" ); document.write( "A quick comment on per cent. I'm sure you know 50% is half of something and \n" ); document.write( "100% is all of something, the word \"cent\" means one hundred, (think of century) \n" ); document.write( "50% can be written \n" ); document.write( " In our problem 7% is .07, right. \n" ); document.write( ": \n" ); document.write( "In this problem. Each step is easy to understand, as I will show you. \n" ); document.write( ": \n" ); document.write( "Choose one value for x: \n" ); document.write( "x = amt invested 7% \n" ); document.write( "; \n" ); document.write( "The problem gives the total as $5000, therefore we can say: \n" ); document.write( "(5000-x) = amt invested at 6%, right? \n" ); document.write( "; \n" ); document.write( "All we have to do now, is write the sum of the interests: \n" ); document.write( ".07x + .06(5000-x) = 332 \n" ); document.write( ": \n" ); document.write( "Multiply what is inside the brackets: \n" ); document.write( ".07x + 300 - .06x = 332 \n" ); document.write( ": \n" ); document.write( "Perform some basic algebra, subtract 300 from both sides: \n" ); document.write( ".07x - .06x = 332 - 300 \n" ); document.write( ".01x = 32 \n" ); document.write( "x = 32/.01; divided both sides by .01 \n" ); document.write( "x = $3200 is the amt invested at 7% \n" ); document.write( ": \n" ); document.write( "Remember: (5000 - x) = amt invested at 6%, therefore \n" ); document.write( "5000 - 3200 = $1800, amt invested at 6% \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "A quick check of out solutions on calc enter: \n" ); document.write( ".07(3200) + .06(1800) = 332 \n" ); document.write( ": \n" ); document.write( "I encourage you to read this over until you can say,\"I got!\", you will be able \n" ); document.write( "to do all these type of problems with ease. Perhaps even show someone else how. \n" ); document.write( ": \n" ); document.write( "Hopefully I can say, \"A student that I was in contact with today, actually \n" ); document.write( "learned something from me.\" How about it? \n" ); document.write( " |