document.write( "Question 1025670: pLEASE HELP ME I AM SO CONFUSED BEEN OUT OF SCHOOL FOR OVER 30YRS AND NEVER HAD PROBLEMS LIKE THIS\r
\n" ); document.write( "\n" ); document.write( "1.Maricopa's Success scholarship fund receives a gift of $ 120000. The money is invested in stocks, bonds, and CDs. CDs pay 4 % interest, bonds pay 2 % interest, and stocks pay 7.7 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 5835 , how much was invested in each account? \r
\n" ); document.write( "\n" ); document.write( " Maricopa Success invested $ in stocks.
\n" ); document.write( " Maricopa Success invested $ in bonds.
\n" ); document.write( " Maricopa Success invested $ in CDs. \r
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\n" ); document.write( "\n" ); document.write( "2.A chemist has three different acid solutions. The first acid solution contains 25% acid, the second contains 35% and the third contains 55%. He wants to use all three solutions to obtain a mixture of 75 liters containing 45%acid, using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used?\r
\n" ); document.write( "\n" ); document.write( " The chemist should use \r
\n" ); document.write( "\n" ); document.write( " liters of 25% solution,
\n" ); document.write( " liters of 35% solution, and
\n" ); document.write( " liters of 55% solution. \n" ); document.write( "

Algebra.Com's Answer #641004 by MathTherapy(10552) $\"\"$ $\"About$

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pLEASE HELP ME I AM SO CONFUSED BEEN OUT OF SCHOOL FOR OVER 30YRS AND NEVER HAD PROBLEMS LIKE THIS\r
\n" ); document.write( "\n" ); document.write( "1.Maricopa's Success scholarship fund receives a gift of $ 120000. The money is invested in stocks, bonds, and CDs. CDs pay 4 % interest, bonds pay 2 % interest, and stocks pay 7.7 % interest. Maricopa Success invests $ 35000 more in bonds than in CDs. If the annual income from the investments is $ 5835 , how much was invested in each account? \r
\n" ); document.write( "\n" ); document.write( " Maricopa Success invested $ in stocks.
\n" ); document.write( " Maricopa Success invested $ in bonds.
\n" ); document.write( " Maricopa Success invested $ in CDs. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2.A chemist has three different acid solutions. The first acid solution contains 25% acid, the second contains 35% and the third contains 55%. He wants to use all three solutions to obtain a mixture of 75 liters containing 45%acid, using 3 times as much of the 55% solution as the 35% solution. How many liters of each solution should be used?\r
\n" ); document.write( "\n" ); document.write( " The chemist should use \r
\n" ); document.write( "\n" ); document.write( " liters of 25% solution,
\n" ); document.write( " liters of 35% solution, and
\n" ); document.write( " liters of 55% solution.
\n" ); document.write( "

Let amount invested in CDs be C
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document.write( "Then amount invested in bonds = C + 35,000
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document.write( "Thus, amount invested in stocks = 120,000 - (C + C + 35,000), or 120,000 - (2C + 35,000), or 120,000 - 2C - 35,000, or 85,000 - 2C
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document.write( "We then get: .04(C) + .02(C + 35,000) + .077(85,000 - 2C) = 5,835
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document.write( ".04C + .02C + 700 + 6,545 - .154C = 5,835
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document.write( ".04C + .02C - .154C = 5,835 - 7,245
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document.write( "- .094C = - 1,410 
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document.write( "C, or amount invested in CDs = , or 
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document.write( "Amount invested in bonds: $15,000 + 35,000, or 
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document.write( "Amount invested in stocks: $120,000 - (15,000 + 50,000) = $120,000 - 65,000, or 
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document.write( "2.
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document.write( "Let amount of 35% acid to be mixed, be T
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document.write( "Then amount of 55% acid to be mixed = 3T
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document.write( "Amount of 25% acid to be mixed = 75 - (T + 3T), or 75 - 4T
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document.write( "We then get: .35(T) + .55(3T) + .25(75 - 4T) = .45(75)
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document.write( ".35T + 1.65T + 18.75 - T = 33.75
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document.write( ".35T + 1.65T - T = 33.75 - 18.75
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document.write( "T, or amount of 35% acid to be mixed = 
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document.write( "Amount of 55% acid to be mixed: 3(15), or 
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document.write( "Amount of 25% acid to be mixed: 75 - (15 + 45) = 75 - 60, or  \n" );
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