Tutors Answer Your Questions about Linear-systems (FREE)
Question 1108214: A strange announcement was made on the radio about a local election with three candidates: Mrs Allan, Mr Baxter and Ms Campbell.
Mrs Allan beat Mr Baxter by one eighth of the total votes cast.
Mr Baxter beat Ms Campbell by a seventh of the total votes cast.
The votes cast for Mrs Allan was 350 fewer than 3 times Ms Campbell's votes.
How many votes did each candidate get?
I know this is a simultaneous equation problem, but I am not very good at them. I keep going round in circles and cannot figure out what the next step is.
Thank you in advance! Your help is much appreciated!
Click here to see answer by Boreal(15235)   |
Question 1108214: A strange announcement was made on the radio about a local election with three candidates: Mrs Allan, Mr Baxter and Ms Campbell.
Mrs Allan beat Mr Baxter by one eighth of the total votes cast.
Mr Baxter beat Ms Campbell by a seventh of the total votes cast.
The votes cast for Mrs Allan was 350 fewer than 3 times Ms Campbell's votes.
How many votes did each candidate get?
I know this is a simultaneous equation problem, but I am not very good at them. I keep going round in circles and cannot figure out what the next step is.
Thank you in advance! Your help is much appreciated!
Click here to see answer by Alan3354(69443)  |
Question 1108279: An office printer is worth for $42,000 when it is 2 years old. When the printer is 6 years old, the value of the printer is $30,000. If the value of the printer decreases in a linear fashion, determine the slope and give a practical interpretation of the slope.
Click here to see answer by josmiceli(19441)  |
Question 1108691: The system of equations may have a unique solution, an infinite number of solutions, or no solution. Use matrices to find the general solution of the system, if a solution exists. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answers in terms of z as in Example 3.)
3x − 2y + 5z = 14
2x − 3y + 4z = 8
(x,y,z)=
Click here to see answer by Alan3354(69443) |
Question 1109163: The school that Micaela goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 11 adult tickets and 9 student tickets for a total of $138. The school took in $118 on the second day by selling 1 adult ticket and 14 student tickets. Find the price of an adult ticket and the price of a student ticket.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 1109525: In 1990, the population of the Midwest was about 60 million. During the 1990s, the population of
this area increased an average of about 0.4 million per year.
The population of the West was about 53 million in 1990. The population of this area increased an
average of about 1 million per year during the 1990s.
Assume that the rate of growth of these areas remains the same. Find the equation of the system and estimate when the population of
the West would be equal to the population of the Midwest.
Click here to see answer by Boreal(15235) |
Question 1109525: In 1990, the population of the Midwest was about 60 million. During the 1990s, the population of
this area increased an average of about 0.4 million per year.
The population of the West was about 53 million in 1990. The population of this area increased an
average of about 1 million per year during the 1990s.
Assume that the rate of growth of these areas remains the same. Find the equation of the system and estimate when the population of
the West would be equal to the population of the Midwest.
Click here to see answer by josmiceli(19441) |
Question 1109683: I have been searching trying to find an example similar to he following problem, but I have been unable to locate anything close to help me understand how to answer this question.
You check around for the best deal on your prescription medicine. At your local pharmacy it costs $4.40 a bottle; by mail-order catalog it costs $3.87 a bottle, but there is a flat shipping charge of $4.00 for any size order; by a source found on the Internet it costs $3.99 a bottle and shipping costs $1.00 for each bottle, but for orders of ten or more bottles it costs $3.79 a bottle, and handling is $2.00 per order plus shipping costs of $1.00 for each bottle.
Find a formula that express each of these costs if N is the number of bottles purchased and C(p), C(c), and C(i) are the respective costs for ordering from the pharmacy, catalog, and Internet.
C(p) (N) =
C(c) (N) =
C(i) (N) =
Click here to see answer by rothauserc(4718)  |
Question 1109683: I have been searching trying to find an example similar to he following problem, but I have been unable to locate anything close to help me understand how to answer this question.
You check around for the best deal on your prescription medicine. At your local pharmacy it costs $4.40 a bottle; by mail-order catalog it costs $3.87 a bottle, but there is a flat shipping charge of $4.00 for any size order; by a source found on the Internet it costs $3.99 a bottle and shipping costs $1.00 for each bottle, but for orders of ten or more bottles it costs $3.79 a bottle, and handling is $2.00 per order plus shipping costs of $1.00 for each bottle.
Find a formula that express each of these costs if N is the number of bottles purchased and C(p), C(c), and C(i) are the respective costs for ordering from the pharmacy, catalog, and Internet.
C(p) (N) =
C(c) (N) =
C(i) (N) =
Click here to see answer by TeachMath(96) |
Question 1109715: 3. A concert is being held in your hometown. 1500 tickets are sold. Adult tickets are $10.50 and childs tickets are $7.50. If a total of $13950 worth of tickets were sold, determine how many adult tickets and how many child tickets were sold.
Answer: Let x be the number of adult tickets and y be the number of child tickets. System of equations:
1st equation:
2nd equation:
Solution: x = and y =
Click here to see answer by Boreal(15235) |
Question 1109716: Johnny invested $20,000. A portion returned 5% and another portion returned 8%. The total interest earned on the investment was $1150. Write a system of equations for this situation and determine how much of the original investment was invested at the 5% rate and how much was invested at the 8% rate.
Answer: Let x be the amount invested that earned 5% and y be the amount invested that earned 8%. System of equations:
1st equation:
2nd equation:
Solution: x = $ , y = $ .
Click here to see answer by greenestamps(13200)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515
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