Questions on Word Problems: Numbers, consecutive odd/even, digits answered by real tutors!

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Word Problems: Numbers, consecutive odd/even, digits

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Question 18226: find two consecutive odd integers whose sum is 116.
Click here to see answer by Kuroinu(8)

Question 18246: what are 3 consecutive integers whose sum is 60?
x=1st cons. integer
x+1= 2nd cons. integer
x+2= 3rd cons. integer
Now re-write problem:
x+(x+1)+(x+2)=60
Now combine like terms:
3x+3=60
Now solve:
Subtract 3 from both sides:
3x=27
Divide by 3 on both sides:
x=9
x+1=10
and x+2=11
Hope I helped! ^^
Click here to see answer by lilmathgrl92(3)

Question 18247: could someone please help me? translate "the difference between twelve times a number and the number" into a mathematical expression. thank-you
Click here to see answer by Kuroinu(8)

Question 18245: Find three consecutive even numbers whose sum is 54
Ok..first write a "let statement":
x= 1st cons. even number
x+2= 2nd cons. even number
x+4= 3rd cons. even number
Now re-write the problem:
x+(x+2)+(x+4)=54
Now combine like terms:
3x+6=54
Now solve:
Subtract 6 on both sides:
3x=48
Divide by 3 on both sides:
x=16
x+2=18
x+4=20
Hope I helped! ^^
Click here to see answer by Kuroinu(8)

Question 18261: find 4 consecutive odd integers starting with 17
Let's say x=17. Then the next odd number above that would be 19. 17 and 19 are consecutive odd integers. So then the third number would be 21, and so on and so forth.
Hope I helped! ^^
Click here to see answer by lilmathgrl92(3)

Question 18371: 3k-5=7k-21
Click here to see answer by piglet162431(90)

Question 18366: 4n+6=8 the question is find four consecutive odd integers whose sum is 8. and that was my set up. i don't know how to find the answer.
Click here to see answer by piglet162431(90)

Question 18467: four times the quantity of a number decreased by one is the same as two more than the same number.find the number?
Please help I always have problems with these.
Thanks!
Tina
Click here to see answer by xcentaur(357)

Question 18612: find three consecutive integers such that the sum of the squares of the smaller two is equal to the square of the largest.
Click here to see answer by xcentaur(357)

Question 18575: The sum of 3 consecutive intergers is less thank 200.What are the largest values for the intergers?
Click here to see answer by wuwei96815(245)

Question 18733: find three consecutive odd integers such that four times the sum of the first and third integer is five more than the product of three and the second interger
Click here to see answer by xcentaur(357)

Question 18136: The difference of two integers is 9. Five times the smaller is 7 more than three times the larger. Find the numbers.
Click here to see answer by piglet162431(90)

Question 18180:
the sum of three consecutive integers is 243. find the smallest interger. here's the way i tried to solve it.
243

x
x+1
x+2 x+x+1+x+2=243

3x+3=243
3x=240
x=80
x+1=81
x+2=82

80+81+82=243
i'm having trouble finding the smallest integer.please help thank you!
Click here to see answer by venugopalramana(3286)

Question 18398: Find four consecutive integers such that the square of the 3rd number is 154 more than the product of the first two numbers
Click here to see answer by venugopalramana(3286)

Question 19303: the theater club wants to earn $211 for scenery. if they charge $2 per car wash,
how many cars must he wash to earn enough?
Click here to see answer by Alwayscheerful(414)

Question 19786: He is the question below. I need to define the variable for x and y, write the appropriate equations, and solve the equation by either substitution, addition, or graphically. THX!
- The difference of two numbers is nine more than the smaller number, and the sum of the two numbers is 54. Find the smaller number.
Click here to see answer by xcentaur(357)

Question 20085: Six times a number increased by 17 is -121. Can you please assist.
Click here to see answer by pwac(251)

Question 20070: You have $4.45 in nickels and dimes. There are 14 more nickels than dimes. how many of each do you have.
Click here to see answer by Paul(988)

Question 20084: Find a number that is 32 more than its opposite
Click here to see answer by elima(1433)

Question 20148: Please help!
One painter works 1 1/2 times as fast as another. Find their individual rates for painting a room if together it takes them 4 hours.
Click here to see answer by suresh(20)

Question 20185: Dear Tutor,
For this problem I came up with the answer of 1248. I took 780 and divided it by 5/8.
2. 5/8 of the vehicles in the parking lot are cars. The rest are vans and trucks. If
there are 780 cars in the lot, how many total vehicles are in the lot?
No answer choices given.

For this problem I took 1600 and divided it by 2 and multiply it by 7.
3. A computer store sells seven times as many printers as fax machines. If sales for the
month totaled 1,600 pieces, how many printers were sold?
No answer choices given.
Am I doing solving these problems right.
Thank you,
Confused
Click here to see answer by mmm4444bot(95)

Question 20182: Dear Tutors,
I think the answer is (B). I divided 360 by 2, then multiply 180 by 2. Is that how you solve this problem.

1. Last month a store sold 4 times as many tapes as CDs. If the total quantity of these
two items sold was 360, how many tapes did the store sell?

a. 288
b. 360
c. 90
d. 20
Thank you,
Confused
Click here to see answer by mmm4444bot(95)

Question 20223: PLEASE HELP ME UNDERSTAND THIS!!!!!
Let S be the set of intergers divisible by both 6 and 15. Which of the following is NOT a divisor of every member of S?
A. 2
B. 5
C. 9
D. 10
E. 30
PLease explain your answer
Click here to see answer by elima(1433)

Question 20528: Sales clerk at an electronics store have a choice of two methods of pay:
Plan A: weekly salary of $450 plus 3% commission on sales
Plan B: a straight 7% commission on sales
Write a system of equations for each plan.
Click here to see answer by venugopalramana(3286)

Question 20527: Claire has a small personal business making scented candles.
Her startup costs are $200. Her cost to make each cangle is
$1.50. She sells each candle for $4.00. Use a system of
equations to determine the number of candles she must sell
to break even. (Write one equation for her prodction costs
and one for her sales revenue.)
Click here to see answer by venugopalramana(3286)

Question 20667: Can anyone help with this problem?
The tens digit of a two-digit number is 7 less than twice the units digit. If the digits are reversed, the new number is 13 more than twice the original number. Find the original number.
I started with
x = units
y = tens - [2x-7=y]
2(10y + x )+ 13 = 10x + y
but end up with
y = 8/19x - 13/19
2x-7 = 8/19x + 13/9
but ended up with
30/19x = 76/9
I know the answer is 14
but I am so lost!l Please help!
Thanks,
Sandy
Click here to see answer by venugopalramana(3286)

Question 20668: Can anyone help with this problem?
The tens digit of a two-digit number is 7 less than twice the units digit. If the digits are reversed, the new number is 13 more than twice the original number. Find the original number.
I started with
x = units
y = tens - [2x-7=y]
2(10y + x )+ 13 = 10x + y
but end up with
y = 8/19x - 13/19
2x-7 = 8/19x + 13/9
but ended up with
30/19x = 76/9
I know the answer is 14
but I am so lost!l Please help!
Thanks,
Sandy
Click here to see answer by venugopalramana(3286)

Question 21115: I've been trying to help my son with this problem but can't figure out where to start. The problem is this, Twice the greater of two consecutive odd integers is 13 less than three times the lesser number. Find the integers.
Click here to see answer by suresh(20)

Question 21201: If the 3-digit number 27d, in which d is the ones' digit, is evenly divisible by both 3 and 4, what is the value of d?
Click here to see answer by longjonsilver(2297)

Question 21249: Find four consecutive even intergers whose sum is 244.
Click here to see answer by elima(1433)

Question 21380: hello,
First let me tell you i'm sorry to ask for so much help so soon, but i have my math final on monday forgot after 15 weeks how to answer these 5-6 problems. Can somebody be a pal and help me find the soulutions to these problems before monday? 3 of them are solving the equation, 1 is seeing if a given number is a solution and the last two are word problems Please Help me!!!!
1.) solve these 3 equations
-3y (3y-3) - 2y = 8
2.) 6-5s /3 = s
3.) 5 (1 - x) / 6 = -x i got -5.166666666 is that right
4.) is see if the given number is a soulution?
2, 2 / a+1 + 4 = 10 / a+1
5.) thise are word problems the first one is a drt problem and the second one is a $$ problem Please Help Me!!!
Two trains are 200 miles apart and their speeds differ by 10mph. find the the speed of each train if they are traveling toward each other and will meet in 2 hours. -------mph, ----- mph.
A collection of coins consisting of dimes and quarters has a value of $4.25. If the number of dimes is 2 more than twice the number of quarters , how many of each type of coins are there???
Once again i know this a lot to take on at once so i apologise for all these problems But i'm really stuck on these and the help you provide wil help me on my final monday thanks for looking and helping me it means a lot. Have a Merry Christmas!!!!!
Click here to see answer by Photonjohn(42)

Question 21301: how do solve three consecutive even integers?
the question: find three consecutive even integers such that four times the square of the third, less three times the square of the first, minus 41, is twice the square of the second..
my answer:4x^2=41
then thats where i get stuck can you help please.
Click here to see answer by Photonjohn(42)

Question 21389: IN BASEBALL A PLAYERS BATTING AVERAGE IS THE RATIO OF HITS TO THE NUMBER OF TIME SHE OR SHE HAS BATTED. IF THE PLAYER HAS AN AVERAGE OF .300 IT MEANS HE OR SHE GOT 300 HITS IN 1000 AT BATS. IN ORDER TO HAVE AN AVERAGE OF .300 HOW MANY HITS WOULD THE BATTER HAVE TO GET IN 400 BATS
I NEED HELP ASAP!!! SET UP A PROPORTION?
Click here to see answer by elima(1433)

Question 21598: There are 812 students in a school. There are 36 more girls than boys. How many girls are there?

this is what i have tried=
girls=x+36
boys=y
i dont know if that is right, nor do i know how to go on from there
Click here to see answer by Paul(988)

Question 21856: The product of two consecutive even intergers is 24. Find the integers.
Click here to see answer by Anglophile(11)

Question 21885: The sum of two consecutive numbers is equal to the difference of those two numbers, find those two numbers.
Thanks
Click here to see answer by queenofit(120)

Question 21925: One number is 10 more than another. If the sum of twice the smaller number and 3 times the larger number is 55, find the two numbers.

Click here to see answer by queenofit(120)

Question 22009: I am a seventh grade student who has to do a problem of the week each week. this is the one for this week.
Seventy-Eight players entered a single elimination tennis tournament. How many matches were played to determine the over all champ.
I have tried to figure this out. I started by dividing 78 by 2 and came up with 39 original matches. My problem is that if I divide that in 1/2 again to come up with the next set of matches, (19 matches) then I have one person left over who does he play? I thought about having him play a person from a future round but that person will have won more games so it wouldn't be fair. Please help. I just don't understand what to do.
Thank You
K.I.
Click here to see answer by venugopalramana(3286)

Question 22140: Twice the lesser of two consecutive intergers is 12 less than 3 times the greater interger. Find the lesser integer.
Click here to see answer by Paul(988)

Question 22209: Could you please help me with this problem.
The sum of two numbers is 78. If three times the smaller is increased by the larger, the result is 124. Find the smaller number.
Thank you for your time.
Click here to see answer by Paul(988)

Question 22263: the sum of two numbers is 10. the sum of their squares is 52. find the numbers.
i got so far"
let x=one number
let y=other number
x+y=10
-y -y
x=10-y
THEN using substitution...
x²+y²=61
(10-y)²+y²=61
100-10y-10y+y²+y²=61
100-20y+2y²=61
2y²-20y+39=0
Now use the quadratic formula or factor it...
Click here to see answer by Paul(988)

Question 17799: what is the deinition of a consecutive integer?
Click here to see answer by stanbon(26249)

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