Tutors Answer Your Questions about Age Word Problems (FREE)
Question 486792: The following project uses the game of Guess Your Card. This is a game in which
each player draws (without looking) three cards. Each card has a number between 1 and 9 on it. The players then place their cards on their heads so that everyone but themselves can see the cards.
The object of the game is to guess what cards you have. The first person to do this correctly wins.
During the play, each player, in turn, draws a question at random from a stack of questions. The player then answers the question based on the cards that they see (not their own cards, which they cannot see).
An Example
* Andy has the cards 6, 6, & 7
* Belle has the cards 3, 6, & 7
* Carol has the cards 1, 1, & 9
* Dan has the cards 3, 4, & 8
Andy draws the question card, “How many 7s do you see?” He answers, “one,” because he cannot see the 7 on his own head; he sees only the 7 on Belle's head.
Next Belle draws the question card, “ Of the four even numbers, how many different even numbers do you see?” She answers, “Three,” because she sees the 4, 6, and 8 on Andy and Dan's head.
From this, Dan can conclude he has two even cards, since he can only see a 6 and Belle sees two more.
Situation
You are playing Guess Your Card with three other players. Here is what you see:
* Andy has the cards 1, 3, & 7
* Belle has the cards 3, 4, & 7
* Carol has the cards 4, 6, & 8
Andy draws the question card, “Do you see two or more players whose cards sum to the same value?” He answers, “`Yes.”
Next Belle draws the question card, “ Of the five odd numbers, how many different
odd numbers do you see?” She answers “All of them.”< /font>
Andy suddenly speaks up. "I know what I have," he says. "I have a one, a three, and a seven."
The Questions
1. What cards do you have?
In answering this question, you must write a neat and professional report. You need to briefly summarize the salient facts of the problem, explain your strategy for solving the problem, explain why your strategy will work, execute your strategy, show your mathematical working, draw conclusions from your working, and finally present your answer with a brief summery of why it is your conclusion.
2. Remember, your strategy is to use more than logic. What kind of logic will you use?
Click here to see answer by chessace(471)  |
Question 486788: Consider a die with eight sides, marked one, two, three, and so on. Assuming equally likely outcomes, find the probability that the sum of two dice is the given number. (Enter the answer either as a fraction or as a decimal rounded to three places.)
Click here to see answer by chessace(471)  |
Question 488415: 1.How many pounds of water must be evaporated from 50 lbs of a 3% salt solution so that the remaining solution will be a salt?
2.A man is three times as old as his son.Four years ago he was four times as old as his son was at the time.How old is the son?
6.Two children are balanced on a seesaw One of them weighing 40 lbs at from the fulcrum.How far from the fulcrum on the other side must the other child sit if he weigs 60 lbs?
7.In two years a boy will be three-fourths as old as his sister.Two years ago he was two-thirds as old as she.How old is the boy now?
8.If the sum of three consecutive even numbers is 42,what is the largest number?
9.A tank can be filled by two hoses in 17 and ½ minutes.If just one hose it requires 42 min to fill the tank.How much time is required to fill the tank using the other hose alone?
10.Two children weighing 65 lbs and 45 lbs respectively are on opposite ends of an 11-foot board.Where must the fulcrum be placed if the board is to be in equilibrium.
o 11.A motor boat went 70 miles in 4 hours when traveling at full speed upstream on a river whose current flows at the rate of 6 miles per hour .How fast can the boat travel in still water?
12.How long will it workers A and B ,together ,to finished a job which can be done by A alone in 5 days and by B alone in 3 days?
13.Find the exact interest of P3000 at 4% for 219 days?
14.The altitude of a triangle is 4m longer than the base.If its area is 126 square meter,find the length of the altitude.
15.A wallet contains 290.00 in P1 and P5 denomination.If there are 62 coins in all ,how many P5-coins are there?
16.In a race ,the first prize will be $5 greater than the second prize and the second will be $4 greater than the third.The total prize money is $52.What is the amount of the first prize?
17.The tens digit of a certain number is 4 more than the unit digit.Find the integer if it is seven times as large as the sum of its digit.
20.A student has scores of 74,78,65 on three examinations .What score is needed on a fourth exam for the student to earn an average score of 80.
Click here to see answer by solver91311(24713)  |
Question 488434: Craig is 24 years younger than his mother. Together their ages total 56 years. How is each person? Explain how you found your answer. I need help why this question i have been trying for one hour to do it.
Click here to see answer by John10(297)  |
Question 488434: Craig is 24 years younger than his mother. Together their ages total 56 years. How is each person? Explain how you found your answer. I need help why this question i have been trying for one hour to do it.
Click here to see answer by Gogonati(855)  |
Question 488780: a man is three times as old as his son. four years ago, he was four times as old as his son was at that time.how old is the son?
i think its twelve. i've done it in a trial and error way, but i need a solution..thank you^^
Click here to see answer by solver91311(24713)  |
Question 488780: a man is three times as old as his son. four years ago, he was four times as old as his son was at that time.how old is the son?
i think its twelve. i've done it in a trial and error way, but i need a solution..thank you^^
Click here to see answer by dannia22(1)  |
Question 489601: My son asked me this on his birthday, yesterday:
His birthday is 31st August, and he was 20yrs old yesterday. Mine is 5th February and I was 41yrs old last birthday. Will there ever be a day when he is exactly half my age? My instinct is that yes, there will, but I don't know how to work it out.
Thanks for any help!
Click here to see answer by Theo(13342)  |
Question 490157: A neighborhood recreation program serves a total of 280 children who are either 11 years old or 12 years old. The sum of the children's ages is 3238 years. How many 11 year old children does the recreation program serve?
Click here to see answer by mananth(16946)  |
|
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, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180
|