Questions on Word Problems: Problems with consecutive odd even integers answered by real tutors!

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Question 334953: one cup of unpopped popcorn will result in two quarts of popped popcorn. how many cups of unpopped popcorn are needed to produce 24 quarts of popped popcorn?
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Question 334941: jim and bob are panning for gold in leadville colorado. ratio of gold found by jim to gold found by bob is 4:7. if the two men together find a total of 55 pieces of gold. find how many pieces of gold each man found. use the 5-step method and check your work
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Question 335346: find the ratio of 28 days to 4 weeks.
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Question 335797: If 6x is an even iteger, represent the next even integer with an algebraic expression in x.
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Question 335892: the sum of the squares of two consecutive odd postive integers is 130. find the integers

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Question 336065: find all sets of three consecutive odd integers whose sum is between 25 and 40. show your steps. please....
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Question 336340: Help I hate setting up word problems I just cant master it the question is:
find four consecutive integers such that the product of the two largest is 46 more than the product of the two smallest integers.
Thanks

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Question 336714: Find three consecutive even integers whose sum is negative thirty.

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Question 335993: Find two consecutive even integers such that twelve times the first equals eight times the second
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Question 337013: find three consecutive integers whose sum is 336
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Question 337059: Four times the smallest of three consecutive even integers is ten more than three times the largest integer. Find the integers?
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Question 337064: If a is an even integer and b is an odd integer, which of the following must be even?
(A) ab + 1
(B) a^2 + 3
(C) a^2 + b^2
(D) a^2b^2 +1
(E) b^2 + 3

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Question 337088: The sum of the positive odd integers less than 50 is subtracted from the sum of the positive even integers less than or equal to 50. What is the resulting difference?
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Question 337037: If 3x is an odd integer, represent the next odd integer as an algebraic expression in x.
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Question 337148: The sum of ten positive odd integers is 22. Some of these integers are equal to each other. What is the greatest possible value of one of these integers?
(A) 21 (B) 13 (C) 11 (D) 9 (E) 7

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Question 337513: determine whether there are two consecutive odd interegers such that 7 times the first exceeds 5 times the second by 54
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Question 337986: What is 23 less than x
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Question 338144: The product of two positive consecutive integers is 41 more than their sum. Find the integers.
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Question 338559: Y when two even numbers are added together the answer is still an even number
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Question 338592: A “simple square” is any integer greater than 1 that has only three positive integer factors—itself,its square root, and 1.
Which of the following is a simple square?
A. 121 B. 100 C. 81 D. 64 E. 33

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Question 338592: A “simple square” is any integer greater than 1 that has only three positive integer factors—itself,its square root, and 1.
Which of the following is a simple square?
A. 121 B. 100 C. 81 D. 64 E. 33

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Question 338605: find four consecutive odd integers so that the sum of the smallest integer and the largest integer is the same as the sum of all four integers
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Question 338605: find four consecutive odd integers so that the sum of the smallest integer and the largest integer is the same as the sum of all four integers
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Question 338605: find four consecutive odd integers so that the sum of the smallest integer and the largest integer is the same as the sum of all four integers
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Question 338760: if x represents an even integer, how can you express the next smaller integer in terms of x?
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Question 338782: the two consecutive even integers whose product is 624
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Question 338799: A perfect square is the result of squaring an integer. If K is a perfect square, then which of the following must represent the next consecutive perfect square?
(a) k + 1 (b) K + √K (c) K + √K + 1 (d) K + 2√K + 1 (e) 2K + 2√K + 1

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Question 338997: Find four consecutive odd integers such that the product of the second and third exceeds the square of the first by 98.
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Question 339011: when the sum of 16 and 10 times a positive number is subtracted from the sqaure of the number,o results
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Question 338996: Find three consecutive integers such that the sum of the squares of the second and third exceeds twice the square of the first by 41.
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Question 339061: Find two consecutive odd integers whose sum is 28
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Question 339061: Find two consecutive odd integers whose sum is 28
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Question 339063: Find two consecutive odd integers such that 4 times the larger is 29 more than 3 times the smaller
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Question 339337: Find all sets of four consecutive odd integers that are positive and whose sum is at most 25
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Question 339381: If v, w, x, y, and z are consecutive odd integers, what is the value of
(v + w + x + y + z)/x ?
(a) 0 (b) 2 (c) 3 (d) 5 (e) 10

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Question 339697: Find three consecutive odd integers such that the sum of the first and twice the second is equal to 15 more than twice the third.
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Question 339697: Find three consecutive odd integers such that the sum of the first and twice the second is equal to 15 more than twice the third.
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Question 339748: Find two integers whose product is 104 such that one of the integers is 3 less than twice the other integer. Thank you for showing me how to set this problem up.
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Question 339044: What is the least integer N, such that (11 – N) + (15 – N) < 11?
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Question 339334: Find all sets of four consecutive odd integers that are positive and whose sum is at most 25.
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Question 340278: are there three consecutive odd integers whose sum is 75? if so, find them.
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Question 340360: If the sum of the consecutive integers from -22 to x, inclusive, is 72, what is the value of x?
A. 23 B. 25 C. 50 D. 75 E. 94

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Question 340715: Find 2 consecutive intergers such that the first less twice the second is equal to 98. My daughter missed this problem on a quiz, and I am trying to help figure it out, so we will understand how to do it next time. Thank You
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Question 340715: Find 2 consecutive intergers such that the first less twice the second is equal to 98. My daughter missed this problem on a quiz, and I am trying to help figure it out, so we will understand how to do it next time. Thank You
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Question 340728: I AM HAVING TROUBLE SETTING UP THIS PROBLEM: "FIND THREE CONSECUTIVE ODD INTEGERS SUCH THAT THE SUM OF THE SMALLEST AND 7 TIMES THE LARGEST IS 68". I SET IT UP x+7x=68. WHAT DID I DO WRONG??
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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