document.write( "Question 187642This question is from textbook
\n" ); document.write( ": I really need help can anyone help meHI I had 3 more problems; Due Monday I did do a lot of them will you please help me
\n" ); document.write( "1. An investor has three investments which pay 3%, 5% and 8%, respectively. He has three times as much invested at 5% than at 3% and$ 600 more invested at 8% than at 3%, if the total interest from the investment after 1year is $854, how much was invested at 5%?
\n" ); document.write( "2. A solution problem: How many ounces of a 25% solution must be added to 40 ounces of a 7% saline solution to make a 15% saline solution?
\n" ); document.write( "3. How many cups of party mix that is 69% pretzels must be added to 120 cups of a party mix that is 45% pretzels to make a party mix that is 54% pretzels?
\n" ); document.write( "4. A merchant has coffee worth $30 a pound that she wishes to mix with 90 pounds of coffee worth $90 a pound to get a mixture that can be sold for $70 a pound how many pounds of $30 coffee should be used?
\n" ); document.write( "5. If three times the smaller of two consecutive integers is added to four times the larger, the result is 116. Find the smaller integer. ( my answer was 16) I hope that was right will you please check it for me Thanks for your help! Sonya
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Algebra.Com's Answer #140752 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
You have submitted quite a few problems here. I will do the first one and give
\n" ); document.write( "you the equations for the rest. You can email me if you have difficulty.
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\n" ); document.write( "1. An investor has three investments which pay 3%, 5% and 8%, respectively.
\n" ); document.write( " He has three times as much invested at 5% than at 3% and$ 600 more invested
\n" ); document.write( " at 8% than at 3%, if the total interest from the investment after 1 year is
\n" ); document.write( " $854, how much was invested at 5%?
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\n" ); document.write( "Let x = amt invested at 3%
\n" ); document.write( "then
\n" ); document.write( "3x = amt invested at 5%
\n" ); document.write( "and
\n" ); document.write( "(x+600) - amt invested at 8%
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\n" ); document.write( "Write a total interest equation:
\n" ); document.write( ".03x + .05(3x) + .08(x+600 ) = 854
\n" ); document.write( ".03x + .15x + .08x + 48 = 854
\n" ); document.write( ".26x = 854 - 48
\n" ); document.write( "x = \"806%2F.26\"
\n" ); document.write( "x = $3100 invested at 3%
\n" ); document.write( "and
\n" ); document.write( "2(3100) = $9300 invested at 5%
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\n" ); document.write( ":
\n" ); document.write( "2. A solution problem: How many ounces of a 25% solution must be added to 40 ounces of a 7% saline solution to make a 15% saline solution?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of 25% solution required
\n" ); document.write( "then
\n" ); document.write( "(x+40) = resulting amt:
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\n" ); document.write( ".07(40) + .25(x) = .15(x+40)
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\n" ); document.write( "3. How many cups of party mix that is 69% pretzels must be added to 120 cups of a party mix that is 45% pretzels to make a party mix that is 54% pretzels?
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\n" ); document.write( "let x = 69% mix
\n" ); document.write( "then
\n" ); document.write( "(x+120) = resulting amt
\n" ); document.write( ":
\n" ); document.write( ".69x + .45(120) = .54(x+120)
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\n" ); document.write( ":
\n" ); document.write( "4. A merchant has coffee worth $30 a pound that she wishes to mix with 90 pounds of coffee worth $90 a pound to get a mixture that can be sold for $70 a pound how many pounds of $30 coffee should be used?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of $30 coffee required
\n" ); document.write( "then
\n" ); document.write( "(x+90) = resulting amt
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\n" ); document.write( "30x + 90(90) = 70(x+90)
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\n" ); document.write( "5. If three times the smaller of two consecutive integers is added to four times the larger, the result is 116. Find the smaller integer.
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\n" ); document.write( "Two consecutive integers: x, (x+1)
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\n" ); document.write( "3x + 4(x+1) = 116
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\n" ); document.write( "The answer is indeed, 16, way to go, substitute 16 for x in the equation to
\n" ); document.write( "prove it to yourself
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