document.write( "Question 627887: Not sure why I am not understanding these problems. Might just be the new medication I am on. Please help me.\r
\n" ); document.write( "\n" ); document.write( "1) Little City Air Tran had a passenger reduction and lost 1/6 of its passengers. If 110 remain after the reduction, how many were there originally? \r
\n" ); document.write( "\n" ); document.write( "2)A box contains 37 coins consisting of pennies, dimes, and quarters, the total value is $2.23. How many pennies (equal to the amount of dimes) are there? How many quarters are there?\r
\n" ); document.write( "\n" ); document.write( "3) A crew receives a check for $4250 for a job. A journeyman makes 300% of what an apprentice makes, and a master makes 150% of what a journeyman makes. How much does the apprentice make? How much does the master make? How much does the journeyman make?\r
\n" ); document.write( "\n" ); document.write( "Would really appreciate it if someone would help me. I have tried working these problems and the answers I get do not seem correct. For instance in problem 1) I was getting 660 for the original number of passengers.
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Algebra.Com's Answer #395203 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
1) Little City Air Tran had a passenger reduction and lost 1/6 of its passengers.
\n" ); document.write( " If 110 remain after the reduction, how many were there originally?
\n" ); document.write( ":
\n" ); document.write( "Let x = original number of passengers
\n" ); document.write( "They tell you how many REMAIN. If they lost 1/6, then 5/6 remain, right?
\n" ); document.write( "therefore
\n" ); document.write( "\"5%2F6\"x = 110
\n" ); document.write( "multiply by 6
\n" ); document.write( "5x = 6(110)
\n" ); document.write( "5x = 660
\n" ); document.write( "x = 660/5
\n" ); document.write( "x = 132 passengers originally
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\n" ); document.write( "2)A box contains 37 coins consisting of pennies, dimes, and quarters, the total value is $2.23.
\n" ); document.write( "let p = no. of pennies
\n" ); document.write( "let d = no. of dimes
\n" ); document.write( "let q = no. of quarters
\n" ); document.write( ":
\n" ); document.write( "The total coin equation
\n" ); document.write( "p + d + q = 37
\n" ); document.write( ":
\n" ); document.write( "the total value equation
\n" ); document.write( ".01p + .10d + .25q = 2.23
\n" ); document.write( ":
\n" ); document.write( " How many pennies (equal to the amount of dimes) are there?
\n" ); document.write( "p = d
\n" ); document.write( "Replace d with p in the total coin equation, and you have
\n" ); document.write( "2p + 1q = 37
\n" ); document.write( "Replace d with p in the total value equation, and you have
\n" ); document.write( ".11p + .25q = 2.23
\n" ); document.write( "Multiply by 4 and subtract
\n" ); document.write( " 2p + 1q = 37.00
\n" ); document.write( ".44p + 1q = 8.92
\n" ); document.write( "------------------subtraction eliminates q, find p
\n" ); document.write( "1.56p + 0 = 28.08
\n" ); document.write( "p = \"28.08%2F1.56\"
\n" ); document.write( "p = 18 pennies
\n" ); document.write( ":
\n" ); document.write( " How many quarters are there?
\n" ); document.write( "Use the equation 2p + 1q = 37, replace p with 18
\n" ); document.write( "2(18) + q = 37
\n" ); document.write( "36 + q = 37
\n" ); document.write( "q = 37-36
\n" ); document.write( "q = 1 quarter
\n" ); document.write( ":
\n" ); document.write( "See if that adds up (remember we have 18 dimes): .18 + 1.80 + .25 = 2.23
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\n" ); document.write( "3) A crew receives a check for $4250 for a job.
\n" ); document.write( " A journeyman makes 300% of what an apprentice makes, and a master makes
\n" ); document.write( " 150% of what a journeyman makes.
\n" ); document.write( ":
\n" ); document.write( "Let a = amt made by the apprentice
\n" ); document.write( "From the given information we can say
\n" ); document.write( "j = 3a)
\n" ); document.write( ":
\n" ); document.write( "m = 1.5(3a)
\n" ); document.write( "m = 4.5a
\n" ); document.write( ":
\n" ); document.write( "a + j + m = 4250
\n" ); document.write( "Replace m and j, find a
\n" ); document.write( "a + 3a + 4.5a = 4250
\n" ); document.write( "8.5a = 4250
\n" ); document.write( "a = 4250/8.5
\n" ); document.write( "a = $500 made by the apprentice
\n" ); document.write( ":
\n" ); document.write( "I'm going to let you find the amt made by j and m
\n" ); document.write( "Confirm that your values add up 4250
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "If your medication prevents you from doing this, change medication or doctors or both!
\n" ); document.write( ":
\n" ); document.write( " How much does the apprentice make?
\n" ); document.write( "How much does the master make?
\n" ); document.write( "How much does the journeyman make?
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