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# Recent problems solved by 'mananth'

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 Age_Word_Problems/360273: The present age of a man is 3 times that of his son. 6 years ago, the age of the man was 4 times that of his son. Find the ratio of their ages 6 years later.1 solutions Answer 257085 by mananth(12270)   on 2010-10-22 21:28:11 (Show Source): You can put this solution on YOUR website!The present age of a man is 3 times that of his son. 6 years ago, the age of the man was 4 times that of his son. Find the ratio of their ages 6 years later. son = x father = 3x .. 6 years ago son = x-6 father = 3x-6 .. 3x-6=4(x-6) 3x-6=4x-24 -x=-18 x=18 son's age father's age = 54 years
 Linear_Equations_And_Systems_Word_Problems/360271: A salmon swims 24 km downstream from its birthplace to the ocean in three hours. The return trip upstream to spawn takes five hours. How fast does the salmon swim in its water?1 solutions Answer 257084 by mananth(12270)   on 2010-10-22 21:26:00 (Show Source): You can put this solution on YOUR website!A salmon swims 24 km downstream from its birthplace to the ocean in three hours. The return trip upstream to spawn takes five hours. How fast does the salmon swim in its water? salmon speed = x cirrent speed =y d/r=t downstream 24/x+y=3 3x+3y=24 /3 x+y=8.................1 upstream 24/(x-y)=5 5x-5y=24..............2 multiply 1 by 5 5x+5y=40 add it to 2 10x=64 x= 6.4 salmon 's speed current speed = 1.6 mph ... m.ananth@hotmail.ca
 Linear-equations/360268: My question is a word problem, Part of the proceeds from a garage sale was \$280 worth of \$5 and \$10 bills. If there was 20 more \$5 than \$10 bills find the numbers of each denomination.1 solutions Answer 257082 by mananth(12270)   on 2010-10-22 21:18:21 (Show Source): You can put this solution on YOUR website!let \$10 bill be x numbers \$5 will be x+20 .. 10x+5(x+20)=280 10x+5x+100=280 15x=180 x=12 \$10 bills \$5 bills will be 32 .. m.ananth@hotmail.ca
 Age_Word_Problems/360265: Jill's age next year will be twice Ann's age last year. Their present ages total 54. How old are they now?1 solutions Answer 257081 by mananth(12270)   on 2010-10-22 21:07:10 (Show Source): You can put this solution on YOUR website!jills age now = x Ann's age now = y x+y=54................1 ... jill next year x+1 Ann last year=y-1 x+1=2(y-1) x+1=2y-2 x-2y=-3................2 multiply 1 by 2 2x+2y=108 add to 2 3x=105 x=35 Jills age Ann's age = 54-35=19 ,,, m.ananth@hotmail.ca
 Travel_Word_Problems/360226: A certain aircraft can fly 1190 miles with the wind in 5 hours and travel the same distance against the wind in 7 hours. What is the speed of the wind?1 solutions Answer 257080 by mananth(12270)   on 2010-10-22 21:00:56 (Show Source): You can put this solution on YOUR website!D= rt wind rate = y plane rate = x distance =1190 time = 5 hours 1190/x+y=5 5x+5y=1190 /5 x+y=238.................1 ... against wind 1190/(x-y)=7 7x-7y=1190 x-y = 170................2 add the two equations 2x=408 x= 204 mph plane speed 238-204=34 mph speed of wind
 Travel_Word_Problems/360260: I can't remember how to do these? I know it's rate times time = distance, but I come up with 54mph, is this right? A twin-engined aircraft can fly 648 miles from city A to B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind?1 solutions Answer 257077 by mananth(12270)   on 2010-10-22 20:51:56 (Show Source): You can put this solution on YOUR website!A twin-engined aircraft can fly 648 miles from city A to B in 3 hours with the wind and make the return trip in 6 hours against the wind. What is the speed of the wind? ... distance = 648 time = 3 hours speed with wind = 648/3 = 216 mph speed of wind = x ... against wind speed = 648/6 = 108 mph ,.. 216-x=x+108 216-108=2x 108=2x x= 58 mph wind rate ... m.ananth@hotmail.ca
 Mixture_Word_Problems/360252: how many ounces of pure water must be added to 60 ounces of a solution that is 20% water to make a solution that is 30% water1 solutions Answer 257075 by mananth(12270)   on 2010-10-22 20:43:56 (Show Source): You can put this solution on YOUR website!let x ounces = water x+60*0.2=(x+60)*0.3 x+12=0.3x+18 0.7x=6 x=6/0.7 x=8.57 ...m.ananth@hotmail.ca
 Linear_Algebra/360105: A truck can be rented from Basic Rental for \$50 per day In addition you pay 20 cent per mile. Continental charges per day \$20 per day in addition to 50 Cent per mile rent out the same truck. How many miles must you drive in a day to make the cost for Basic Rental a better deal than that Continental?1 solutions Answer 256958 by mananth(12270)   on 2010-10-22 10:52:05 (Show Source): You can put this solution on YOUR website!A truck can be rented from Basic Rental for \$50 per day In addition you pay 20 cent per mile. Continental charges per day \$20 per day in addition to 50 Cent per mile rent out the same truck. How many miles must you drive in a day to make the cost for Basic Rental a better deal than that Continental? ... let x be the mileage per day Basic Rental = 50+0.2x Continental = 20+0.5x ... 50+0.2x<20+0.5x 50-20<0.5x-0.2x 30<0.3x 100 ... m.ananth@hotmail.ca
 Travel_Word_Problems/360108: One car travels 40 km/hr faster than another. While one travels 150 km, the other goes 350 km. Find the speed of the slower car1 solutions Answer 256954 by mananth(12270)   on 2010-10-22 10:40:46 (Show Source): You can put this solution on YOUR website!One car travels 40 km/hr faster than another. While one travels 150 km, the other goes 350 km. Find the speed of the slower car ... let slower car speed be x mph other car speed = x+40 ... 350/(x+40) = 150/x 350x=150(x+40) 350x=150x+6000 200x=6000 x=30 mph slower car ,, m.ananth@hotmail.ca
 test/360106: A total of 915 tickets were sold for a game for a total of \$1,130. If adult tickets sold for \$2.00 and children's tickets sold for \$1.00, how many of each kind of ticket were sold? adult ticket= Children ticket=1 solutions Answer 256951 by mananth(12270)   on 2010-10-22 10:34:30 (Show Source): You can put this solution on YOUR website!let adults be x children be y .. child ticket = 1 adult ticket =2 ... x+y =915 2x+y=1130 multiply first equation by -1 -x-y=-915 add it to second equation x=215 adults y=700 children ... m.ananth@hotmail.ca
 Polynomials-and-rational-expressions/360103: The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skating. If an adult admission was \$5.00 and a child's admission was \$3.00 and they paid a total of \$168.00, how many children were at the reunion? thank you1 solutions Answer 256947 by mananth(12270)   on 2010-10-22 10:28:49 (Show Source): You can put this solution on YOUR website!The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skating. If an adult admission was \$5.00 and a child's admission was \$3.00 and they paid a total of \$168.00, how many children were at the reunion? thank you ... let adults be x children be y ... x+y = 44 5x+3y=168 ... multiply first equation 1 by -5 -5x-5y=-220 add it to equation 2 -2y=-52 y=26 children ... m.ananth@hotmail.ca
 Travel_Word_Problems/360094: Chuck rides 3 hours total on a bicycle trip into the country and back. He rode out at the rate of 16 mph and returned at the rate of 24 mph. How far into the country did Chuck ride (round to the nearest hundredth)?1 solutions Answer 256945 by mananth(12270)   on 2010-10-22 10:04:19 (Show Source): You can put this solution on YOUR website!Chuck rides 3 hours total on a bicycle trip into the country and back. He rode out at the rate of 16 mph and returned at the rate of 24 mph. How far into the country did Chuck ride (round to the nearest hundredth)? let him ride x miles into the country speed = 16 mph .. time to go into the country = x/16 ... return speed = 24 mph time return = x/24 .. time forward + time return = 3 x/16 + x/24 =3 (3x+2x)/48 = 3 5x=144 /5 x= 28.80 miles ... m.ananth@hotmail.ca
 Linear_Equations_And_Systems_Word_Problems/359963: If X units of a product cost c dollars to manufacture and earn revenue of R dollars the value of X where the expressions for C and R are equal is called the break-even quantity the number of units that produce zero profit. Find the break - even quantity when C=13x+90000 and R=18X. How many units must be produced and sold in order to break even?1 solutions Answer 256941 by mananth(12270)   on 2010-10-22 09:39:15 (Show Source): You can put this solution on YOUR website!If X units of a product cost c dollars to manufacture and earn revenue of R dollars the value of X where the expressions for C and R are equal is called the break-even quantity the number of units that produce zero profit. Find the break - even quantity when C=13x+90000 and R=18X. How many units must be produced and sold in order to break even? revenue must be equal to sales 18x=13x+90000 18x-13x=90000 5x=90000 /5 x=18000 units have to be produced to breakeven ... m.ananth@hotmail.ca
 Average/360074: The ratio of orange juice to pinapple juice in tropical treat punch is 4 to 3 bill has 64 oz of orange juice how much pinapple juice does he need? 1 solutions Answer 256940 by mananth(12270)   on 2010-10-22 09:36:15 (Show Source): You can put this solution on YOUR website!orange /pineapple = 4/3 4/3= 64/x x=3*64/4 x=48 oz of pineapple juice ... m.ananth@hotmail.ca
 Equations/360077: Solve for y using the addition principle: = -1/8 + y = -3/41 solutions Answer 256938 by mananth(12270)   on 2010-10-22 09:32:45 (Show Source): You can put this solution on YOUR website!-1/8 + y = -3/4 add 1/8 -1/8 +1/8 +y=-3/4 +1/8 y=-3/4 +1/8 LCM = 8 y= (-6+1)/8 y=-5/8 m.ananth@hotmail.ca
 test/360093: Hi I'm askin for help wit fractions I kno a lil but after while I start back forgetin I need someone to help me and now I'm doin subtracting mixed numbers1 solutions Answer 256935 by mananth(12270)   on 2010-10-22 09:29:09 (Show Source): You can put this solution on YOUR website!what help do you need? .. m.ananth@hotmail.ca
 Miscellaneous_Word_Problems/360091: Thirty percent of twice a number is 30. What was the original number?1 solutions Answer 256934 by mananth(12270)   on 2010-10-22 09:27:58 (Show Source): You can put this solution on YOUR website!number be x 30%x= 0.3x 0.3x=30 x=30/0.3 x=100 ... m.ananth@hotmail.ca
 Evaluation_Word_Problems/360092: the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number1 solutions Answer 256932 by mananth(12270)   on 2010-10-22 09:26:30 (Show Source): You can put this solution on YOUR website!the sum of two numbers is 57. If the larger number is increased by 3 it is equal 4 times the smaller number ... if one number is x the other will be 57-x .. x+3=4(57-x) x+3=188-4x 5x=188-3 5x=185 /5 x=37 other number = 57-37=20 ... m.ananth@hotmail.ca
 Equations/360080: Solve for a using the addition and multiplication principles: 14 - 6a = -2a + 31 solutions Answer 256926 by mananth(12270)   on 2010-10-22 08:55:52 (Show Source): You can put this solution on YOUR website!14 - 6a = -2a + 3 add 6a 14-6a+6a=-2a+6a+3 14=4a+3 add -3 14-3=4a+3-3 11=4a multiply by 1/4 11*1/4 = 4a*1/4 11/4 = a ... m.ananth@hotmail.ca
 Equations/360075: Solve for x using the addition principle: -8 + x = -241 solutions Answer 256924 by mananth(12270)   on 2010-10-22 08:52:48 (Show Source): You can put this solution on YOUR website!-8 + x = -24 add 8 -8+8+x=-24+8 x=-16 ... m.ananth@hotmail.ca
 Equations/360083: Solve for y using the addition and multiplication principles: 18 - 10y ≤ 63 + 5y1 solutions Answer 256923 by mananth(12270)   on 2010-10-22 08:50:35 (Show Source): You can put this solution on YOUR website!18 - 10y <= 63 + 5y add 10y 18-10y+10y<=63+5y+10y 18<=63+15y add -63 18-63<=63-63+15y -45<=15y multiply by 1/15 -45*1/15 <=15y*1/15 -3<=y ... m.ananth@hotmail.ca
 Travel_Word_Problems/360006: Sue is traveling 50 miles to an appointment she has to be to in 1 hour. After the first 30 miles she realizes she isn't going to make it and increases her speed by 15mph to get there on time. What was her speed for the first 30 miles?1 solutions Answer 256912 by mananth(12270)   on 2010-10-22 08:13:04 (Show Source): You can put this solution on YOUR website!Sue is traveling 50 miles to an appointment she has to be to in 1 hour. After the first 30 miles she realizes she isn't going to make it and increases her speed by 15mph to get there on time. What was her speed for the first 30 miles? let her speed for 30 miles be xmph time taken = 30/x speed increased to x+15 mph time taken = 20/(x+5) .. (30/x)+20/(x+5)=1 30(x+5)+20x / x(x+5)=1 30x+150+20x = x^2+5x 50x+150-x^2-5x=0 -x^2+45x+150=0 x^2-45x-150=0 solve using quadratic formula discriminant = 2625 x1= (45+sqrt(2625))/2 x1=48.11 mph x2 will be negative so ignore ... m.ananth@hotmail.ca
 Travel_Word_Problems/360010: Mr. Anders and Ms. Rich each drove home from a business meeting. Mr. Anders traveled east at 100 kilometers per hour and Ms. Rich traveled west at 80 kilometers per house. In how many hours were they 100 kilometers apart?1 solutions Answer 256910 by mananth(12270)   on 2010-10-22 08:01:26 (Show Source): You can put this solution on YOUR website!they are going away from each other speed of one= 100 mph speed of other = 80 km/h .. 180 km/h is the effective speed. distance = 100 km time = d/r t=100/180 t=5/9 hours ... m.ananth@hotmail.ca
 Geometry_Word_Problems/360061: a car avrages 28.7 miles per gallon. how many gallons will it use on a trip 501.5 mmiles. round to the nearest tenth1 solutions Answer 256908 by mananth(12270)   on 2010-10-22 07:55:25 (Show Source): You can put this solution on YOUR website!70% male 30% female ... 7/3= x/24 x=24*7/3 x= 56 men ... m.ananth@hotmail.ca
 Triangles/360060: one side of a triangle is 4cm longer and another 3cm shorter than the third side.if the perimeter of the triangle is 43cm, find the length of the three sides.1 solutions Answer 256907 by mananth(12270)   on 2010-10-22 07:53:02 (Show Source): You can put this solution on YOUR website!let third side =x one side = x+4 second side=x-3 ... x+x+4+x-3 =43 3x+1=43 3x=42 /3 x=14 cm third side one side = 17cm second side = 11 cm ... m.ananth@hotmail.ca
 Angles/360071: an angle measures 12° more than 1/2 the measure of its supplement. find the measure of the angle. Needs to show work.1 solutions Answer 256906 by mananth(12270)   on 2010-10-22 07:49:07 (Show Source): You can put this solution on YOUR website!angle = x supplement = 180-x .. x= 1/2 *(180-x)+12 x=90-x/2 +12 x+x/2=102 3x/2=102 3x=204 /3 x=68 deg. ... m.ananth@hotmail.ca
 Triangles/360062: John placed an order to print some poster at his local printer. They charged a setting up fee of £45 pounds and 2 pounds for every poster printer.Write an expression to repreent the total cost incurred "C" to print an "N" number of Psters.1 solutions Answer 256905 by mananth(12270)   on 2010-10-22 07:46:14 (Show Source): You can put this solution on YOUR website!John placed an order to print some poster at his local printer. They charged a setting up fee of £45 pounds and 2 pounds for every poster printer.Write an expression to repreent the total cost incurred "C" to print an "N" number of Psters. ... C= 45+2n ... m.ananth@hotmail.ca
 Travel_Word_Problems/360063: A boat travels up river in 1.2 hours and down river in .9 hours. The boat travels 5 mph faster down river than up river. What speed is the boat traveling up and down river?1 solutions Answer 256904 by mananth(12270)   on 2010-10-22 07:44:01 (Show Source): You can put this solution on YOUR website!let upstream speed be x downstream speed = x+5 .. upstream time = 1.2 hours downstream time = 0.9 hours .. 1.2x=0.9(x+5) 1.2x=0.9x+4.5 0.3x=4.5 x=4.5/0.3 x=15 mph upstream speed 20 mph downstream speed ... m.ananth@hotmail.ca
 Travel_Word_Problems/360064: A boat travels uptream. It takes him 1.2 hrs to reach his destination. The return trip to starting point takes .9 hours. He is traveling 5mph faster going downstream. How fast does the boat travel going upstream?1 solutions Answer 256903 by mananth(12270)   on 2010-10-22 07:39:41 (Show Source): You can put this solution on YOUR website!let upstream speed be x downstream speed = x+5 .. upstream time = 1.2 hours downstream time = 0.9 hours .. 1.2x=0.9(x+5) 1.2x=0.9x+4.5 0.3x=4.5 x=4.5/0.3 x=15 mph upstream speed ... m.ananth@hotmail.ca
 Travel_Word_Problems/360058: Your aunt leaves 45 minutes before you and drives at 60 mph. You want to catch her in 4 hours. How fast do you need to drive? How far will you drive?1 solutions Answer 256899 by mananth(12270)   on 2010-10-22 06:08:35 (Show Source): You can put this solution on YOUR website!aunt 60 mph in 3/4 hour she travels 3/4*60=45 miles ... to catch up in 4 hours .. catch up speed = 45/4 =11.25 mph ... 60+11.25= 71.25 mph .. m.ananth@hotmail.ca