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

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Tutors Answer Your Questions about Numbers Word Problems (FREE)


Question 151563: Find three consecutive even integers such that five times the second equals twice the sum of the first and the third?
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Question 151591: The measure of the supplement of an angle is 10 percent more than four times the measure of the angle. Find the measures of both angles.
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Question 151586: Find three consecutive even integers such that five times the second equals twice the sum of the first and the third.
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Question 151749: the sum of a number and seven
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Question 151775: It is an odd two-digit number,the sum of its digits is 8,the sum of the squares of its digits is 50. What is it?
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Question 151775: It is an odd two-digit number,the sum of its digits is 8,the sum of the squares of its digits is 50. What is it?
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Question 151854: Please help me with this problem. I've tried working on it but all I end up with is a headache.
The sum of the digits of a two-digit number is 8. If 16 is added to the original number, the result is 3 times the original number with its digits reversed. Find the original number.

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Question 152076: solve for k,4/5k+7/10=13/15k-3/5
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Question 152137: Find the two consecutive odd integers whose squares differ y 64?
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Question 152193: Find two numbers whose sum is 23 and the difference of whose squares is 207
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Question 152194: The sum of the number and its square is twelve times the next higher number. Find the no.
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Question 152194: The sum of the number and its square is twelve times the next higher number. Find the no.
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Question 152341: Six students each try to guess the number of pennies in a jar. The six guesses are 52, 59, 62, 65, 49, and 42. One guess is 12 away, and the other guesses are 1, 4, 6, 9, and 11 away. How many pennies are in the jar?
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Question 152344: Evaluate.

a.] f(2)
b.] f(1/2)
c.] f(-1)
d.] f(a+2)

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Question 152355: an agent sold 250 boxes of apples at $6.50 each. He charged a commission of 5%. What was his commission?
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Question 152343: The weather during the Forburg's vacation was very strange.
It was cloudy on 13 different days, but it was never cloudy for an entire day.
Cloudy mornings were followed by clear afternoons.
Cloudy afternoons were preceded by clear mornings.
There were 11 clear mornings and 12 clear afternoons in all.
How long was the vacation?

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Question 152441: what two-digit number is twice the product of its digits?
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Question 152639: May I request your assistance in answering this word problem. Thank you very much.
"A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980. One goat costs 3 times as much as one chicken, but cost half as much as one sheep and a quarter of the cost of one cow. How much did the farmer sell each goat?"

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Question 152639: May I request your assistance in answering this word problem. Thank you very much.
"A farmer sold 7 goats, 11 chickens, 5 sheeps and 3 cows for U$980. One goat costs 3 times as much as one chicken, but cost half as much as one sheep and a quarter of the cost of one cow. How much did the farmer sell each goat?"

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Question 152713: a lodge pays $1625 for tickets for its X members to visit the state capital. Find the cost of 1 ticket

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Question 152745: Okay, here it is:
A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weigh five times as much as the trailer. How much does the boat weight?
I have tried so many times for the past twenty minutes!! I can't get it!! Thank you so much.
Here is the last thing I tried:
x+1500=boat
x=trailer
x+400=motor
x+1500+x=5(x+400)
2x+1500+5x+2000
2x=5x+500
-3x=500
x=-166.666666 (It doesn't work) =(

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Question 153054: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.
(1) What is the eccentricity of the orbit?
(2) For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that is equal to the eccentricity of the orbit.
(3) Find the Apogee. Find the Perigee.

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Question 152774: The degree measure of an angle and its complement are consecutive even integers find the measure of each angle.
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Question 153102: There are pigs and chicken in the farm. The total no. of heads and legs of both animals is 100. How many pigs and chicken are there in the farm ?

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Question 153148: Just need help on the completion of this problem which is due tomorrow 8/24 Thanks
The Conic Sections, Sequences and Series
i) Problem: The moon travels an elliptical path with Earth as one focus. The maximum distance from the moon to Earth is 405,500 km and the minimum distance is 363,300 km.
(1) What is the eccentricity of the orbit?
(2) For a planet or satellite in an elliptical orbit around a focus of the ellipse, perigee (P) is defined to be its closest distance to the focus and apogee (A) is defined to be its greatest distance from the focus. Show that A-P is equal to the eccentricity of the orbit.

A+P
(3) Find the Apogee. Find the Perigee.
(4) Explain the problem step by step and what mathematical concepts are being applied to this problem?

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Question 153331This question is from textbook
: Arnold has made 69 lace handkerchiefs. 2/3 of them are blue, and the rest are white. How many are blue?This question is from textbook

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Question 153381: What is a two digit number equal to three times the product of its digits?
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Question 153547: How many 9 digit numbers can be made from the set 1-9. No repeat digits so that all even digits remain adjacent?
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Question 153579: Cheryl is dividing her soccer team into 5 groups, 1/2 are forwards,1/6 are halfbacks,1/6 are wings,1/12 are fullbacks and 2 others are goalies. How many players are there on the team and how many in each group?
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Question 153642: At 11 am Kate left clinton tollbooth travelling west at 809 km/h. At 12 pm, Juan left the tollbooth traveling west at 72 km/h. At what time will they be 98 km apart
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Question 153865: Find two consecutive integers such that the sum of the first and 3 times the second is 55.
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Question 153782: the sum of three consecutive odd integers is 279. what are the integers?
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Question 153780: find two consecutive even integhers such that the larger, added to eight times the smaller, equals 110
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Question 154273: 421 exceeds nine times a number by 61. What is the number?
I am confuse meaning of exceeds please help me
thanks
sree

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Question 154273: 421 exceeds nine times a number by 61. What is the number?
I am confuse meaning of exceeds please help me
thanks
sree

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Question 154334: if 1+3+5+7+9+11+13+15+17+19=100 then whic of among these numbers total makes 50
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Question 154345This question is from textbook
: There are 40 cows and chicken in the farmyard. One quiet afternoon, Jack counted and found that there were 100 legs in all. How many cows and chickens are there? Solve this problem by writing and solving an equation.This question is from textbook

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Question 154538This question is from textbook Algebra and Trigonometry Structure and Method
: The dimensions of a rectangle are consecutive odd integers. Find the smallest such rectangle with a perimeter of at least 35 cm.This question is from textbook Algebra and Trigonometry Structure and Method

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Question 154534: in a class of 68 students, there are 8 fewer democrats than republicans, and there are only half as many independents as democrats if every student is registered as a democrat, republican, or independent, how many students are in each group?
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Question 154698This question is from textbook mathematics for health occupations
: a crowd of 62,094 fans filled 85%of the Ponmet Stadium Saturday to veiew the Lion's first game in their new home. What is the capacity of the Ponmet Stadium?This question is from textbook mathematics for health occupations

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Question 154833: what is 3252 more than 892334?
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Question 154928: I have 51 handle bars and 116 wheels. Using all the parts how many tricycles and bicycles can I assemble?
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Question 155017: Find three consecutive odd integers of which one half of the sum of the first and second equals the square of the difference of the third and the first.
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Question 155016: What two consecutive integers have cubes that differ by 217?
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Question 155016: What two consecutive integers have cubes that differ by 217?
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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