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

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Question 99668: 1. Twice the difference of a number and seven is equal to five times the number plus one. Find the number.
2. Bob makes one and one half times as much money as Tom. If the total of their salaries is $100,000., find the salary of each.
3. The flag of Kuwait contains an isosceles trapezoid. Two of the trapezoid's four angles are the same measure and the other two are the same. Each of the larger two angles are three times each of the smaller angles. The sum of the angles in a trapezoid is 360 degrees. Find the measure of each angle.
4. Two angles are complementary. The second angle is six less than three times the first. Find the two angles.

Click here to see answer by anjali_yamini(27)

Question 99791: Find for consecutive integers such that the sum of the second and the fourth is 17 less than thrice the first.
Click here to see answer by Adam(64)

Question 99792: Find four consecutive integers such that the sum of the second and the fourth is 17 less than thrice the first.
Click here to see answer by ankor@dixie-net.com(15660)

Question 100099: Find 4 consecutive odd intergers whose sum is 216
Click here to see answer by ptaylor(2048)

Question 100098: A builder of tract homes reduced the price of a model by 15%. If the new price is $425,000, what was it's original price? How much can be saved by purchasing thr model?
Click here to see answer by stanbon(57387)

Question 100161: Each of two congruent sides of a isosceles triangle is 8in less than twice the base. The perimeter of the triangle is 74in What is the length of the base?
Click here to see answer by checkley71(8403)

Question 100189: Find three consecutive odd integers whose sum is -579
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Question 100012: The difference of two positive numbers is 2 and the sum of their squares is 74. Find the numbers
Click here to see answer by ankor@dixie-net.com(15660)

Question 100387: 2*3 consecutive even numbers such as the sum of twice the first number and the third number is 30 more than the second number.
equation__________________
Answer____________________
how do you do this? thank you for your help. i have 5 more to do after this and i am confused.
Click here to see answer by edjones(7569)

Question 100663: Find five consecutive odd integers such that the sum of the first and the fifth is one less than three times the fourth.
Click here to see answer by checkley71(8403)

Question 100689: There are 3 consecutive odd integers. Three times the largest is seven times the smallest. What are the integers?
Click here to see answer by oberobic(2304)

Question 100587: Number problems. You have at least $30 in change in your drawer, consisting of
dimes and quarters. Write an inequality that shows the different number of coins
in your drawer.
Click here to see answer by checkley71(8403)

Question 100742: charlotte has 3 times as many pencils in her schoolbox as Rebecca. Together they have a total of 24 pencils. How many pencils does rebecca have?
Click here to see answer by checkley71(8403)

Question 100758: Business and finance. In planning for a new item, a manufacturer assumes that
the number of items produced x and the cost in dollars C of producing these items
are related by a linear equation. Projections are that 100 items will cost $10,000 to
produce and that 300 items will cost $22,000 to produce. Find the equation that
relates C and x.
Click here to see answer by oberobic(2304)

Question 97702: The capacity of an elevator is 20 children or 15 adults. If 12 children are in the elevator, how many adults can get in?
Click here to see answer by edjones(7569)

Question 100760: Write the equation of the line passing through each of the given pairs of points. Write your
result in slope-intercept form, where possible.
a.) (-1, 3) and (4, -2)
b.) (2, -3) and (2, 4)
Click here to see answer by chitra(359)

Question 100801: Difference of an odd integer and three times the next consequetive odd integer is 24
Click here to see answer by ankor@dixie-net.com(15660)

Question 100932: What two-digit number is equal to twice the product of its digits?
Click here to see answer by stanbon(57387)

Question 101117: if the sum of a number and 7 is tripled the result is 3 less than twice the number
Click here to see answer by tutorcecilia(2152)

Question 101191: The lesser of two consecutive even integers is 10 more than one-half the greater. Find the integers.
Click here to see answer by stanbon(57387)

Question 101218: 15 books are being bought. Some cost $8.50 each, the remainder cost $9.50 each. Estimate the least number of books that can be bought at $8.50 each if the total cost must not be more than $135.50.
Click here to see answer by Nate(3500)

Question 101182: The product of two consecutive even integers is 4 more than 5 times the smaller of the two integers. Find the integers.
Click here to see answer by scott8148(6628)

Question 101237: A sample of 50 students was asked what type of pizza to order for a class party. 20 wanted sausage pizza. Based on the survey, predict how many students in a class of 450 would want sausage piiza.
Click here to see answer by Kalmetam(43)

Question 101370: The sum of three consecutive even numbers is 60. What are the the 3 numbers?
These problems I have a hard time understanding. Can someone help me figure this one out?
This is what I got so far and I don't know if its right.
x is even consecutive #
x + 2 is next #
x + 4 is next #
And I set up as:
x + (x+2) + x +4 = 60
Thanks so much for your help.
Click here to see answer by ptaylor(2048)

Question 101637: Please help us solve this equation:
4. One more than the difference between 18 and 7 times a number is -9
This is what we have tried:
7n + 18 +1 = -9
7n + 19 = -9
7n = -28
n= -4
Is this correct?

Click here to see answer by ptaylor(2048)

Question 101746: if you begin with even integers and count by two you are counting consecutive even integers. write and solve equation to find two consecutive even integers whose sum is 50.
Click here to see answer by stanbon(57387)

Question 101857: fiND FOUR CONSECUTIVE INTEGERS WHOSE SUM IS 244
Click here to see answer by Fombitz(13828)

Question 102027: dear ma'm/sir, i hope you will help me with my homework. solve and answet his one for me. thank you.
5/(m-1)(m+2) + 2/(m+2)(m-3)
Click here to see answer by stanbon(57387)

Question 102032: Find three consecutive integers such that twice the least integer is 12 more than the greatest integer.
2x = x + 12
x = 12
Dont know what to do from here.
Thanks, K.R.
Click here to see answer by bucky(2189)

Question 102121: find five consecutive odd integers such that the sum of the first and the fifth is one less than thre times the fourth
Click here to see answer by checkley75(3666)

Question 101877: Find 4 consecutive even integers such that four less than twice the samllest is equal to three times the largest, increased by two.
Click here to see answer by ankor@dixie-net.com(15660)

Question 102201: Please help with this problem. This sounds easy but it may be a trick question. My answer would be any number you start with it doesn't matter.
The question is:
Javier said, I have a number in mind. If I add 5 to it, then subtract 5 from it, the average of the results is the number I started with. Can you tell for sure what the number he has in mind? Why ?
Thanks,
Brian
Click here to see answer by edjones(7569)

Question 102407: Census taker is asking Mrs. Smith
ct: how old are your children?
ms: I have no 1 year olds, the sum of their ages equals our house number, the product of their ages is 90
ct: this is not enough information
ms: you are right, the kid across the street is older than my oldest
How old are Mrs. Smith's children
Click here to see answer by bucky(2189)

Question 102599: The sum of two numbers is 70. The second is 1 more than 2 times the first. What are the two numbers?
Click here to see answer by mjgulinello(10)

Question 102670: Find the two consecutive integers whose product exceeds their sum by 19.
How can I solve this? What would the exquation be??
I'm really having a hard time finding the equations. Please help.
Click here to see answer by edjones(7569)

Question 101791: My ID number is quite remarkable. It's a 9-digit number with the digits 1-9 appearing only once. The entire number is divisible by 9. If you remove the last digit, the remaining 8-digit number is divisible by 8. If you remove the last digit again, you are left with a 7-digit number divisible by 7. Again remove the last digit to have a 6-digit number divisible by 6. This process continues all the way down to one digit. What is my ID number?
Click here to see answer by bucky(2189)

Question 102682: The product of two positive integers is 98. If they differ by 7, what are the integer?
Please help.
Click here to see answer by Earlsdon(6287)

Question 102682: The product of two positive integers is 98. If they differ by 7, what are the integer?
Please help.
Click here to see answer by bucky(2189)

Question 102680: The sum of a number and it's reciprocal is 73/24. find the number.
Please help.
Click here to see answer by ankor@dixie-net.com(15660)

Question 102679: The difference between a number and it's reciprocal is 7/12. Find the number.
Please Help. Thank you.
Click here to see answer by stanbon(57387)

Question 102727: The tens digit of a certain number is 3 more than the units digit. The sum of the squares of the two digits is 117. Find the number.
Click here to see answer by bucky(2189)

Question 102885: I am thinking of three consecutive positive numbers. If I multiply the first with the third and then add the second, the result is 41. Let X be the smallest number.
This is how far I have made, but I don't think I'm doing it right.
x
x+1
x+2
x+x+1+x+2=41
3x+3=41
3x+3-3=41-3
3x=38
x=38/3
Click here to see answer by doukungfoo(195)

Question 102939: At exactly what time (to the fraction of a minute) between 7:00 and 8:00 do the hands of a clock form a straight angle?
Click here to see answer by MathLover1(6638)

Question 102939: At exactly what time (to the fraction of a minute) between 7:00 and 8:00 do the hands of a clock form a straight angle?
Click here to see answer by ankor@dixie-net.com(15660)

Question 102944: At exactly what time (to the fraction of a minute) between 7:00 and 8:00 do the hands of a clock form a straight angle?
Click here to see answer by scott8148(6628)

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