Questions on Word Problems: Problems on percentages, ratios, and fractions answered by real tutors!

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Question 433031: One of the authors with too much time on his hands weighed each chocolate candy in a bag of 470 plain chocolate candies. Complete parts (a) and (c).
a. One of the chocolate candies weighed 0.776 gram and it was heavier than 24 of the other chocolate candies. What is the percentile of this particular value?
It is the __th percentile. (Round down to the nearest integer as needed).
b. One of the chocolate candies weighed 0.876 gram and it was heavier than 323 of the other chocolate candies. What is the percentile of this particular value?
It is the __th percentile. (Round down to the nearest integer as needed).
c. One of the chocolate candies weighed 0.856 gram and it was heavier than 227 of the other chocolate candies. What is the percentile of this particular value?
It is the __th percentile. (Round down to the nearest integer as needed).


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Question 433085: In a certain school there were 5 more seniors than juniors. In one marking period, 8 percent of the juniors and 5 percent of the seniors were on honor roll. If the total of juniors and seniors on the honor roll was 10, how many seniors were in the school in the marking period?
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Question 433187: The director of the Glen Island Zoo wants to use 170m of fencing to enclose a petting area of 1750m squared. Find the dimensions of the petting zoo.
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Question 433246: In 2007 exports of new light vehicles increased 41% over 1996 in the United States. If in 2007 about 1.7 million light vehicles were exported determine the number of vehicles exported in 1996.
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Question 433192: Soledad worked 48 hr one week and earned $442 paycheck. She earns time and a half for hours she works in excess of 40. What is Soledad's regular hourly wage?
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Question 433195: Water accounts for 60% of a mans weight Emilio Weighs 186lbs. How much of his body weight is water?
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Question 433305: The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts (a) through (c).
Town 1 Population TB Deaths
Whites: 4,656,000 - 8200
Nonwhites: 97,000 - 700
Total: 4,753,000 - 8900
Town 2 Population TB Deaths
Whites: 84,000 - 130
Nonwhites: 47,000 - 160
Total: 131,000 - 290
a. Compute the death rates for whites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death reates for nonwhites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 1. __% (Round to the nearest hundredth as needed).
b. Compute the death rates for whites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for nonwhites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 2. ___% (Round to the nearest hundredth as needed).
c. Explain why this is an example of Simpson's paradox and explain how the paradox arises. Choose the correct answer below.
(a) The rates for both whites and nonwhites was higher in Town 1 than Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The percentage of nonwhites was significantly lower in Town 2 than in Town 1.
(b) The rates for non whites was higher in Town 1 than in Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The total number of people was significantly higher in Town 1 than in Town 2.
(c) The rates for whites was higher in Town 1 than in Town 2, as the rate for nonwhites was higher in Town 1 than in Town 2. The percentage of whites was significantly higher in Town 2 than in Town 1.

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Question 433890: Jill gets a loan at 8% simple interest for 5 years, The loan accumulates $400 in interest, what was the principle amount of the loan?

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Question 434342: if i spend $30, what fraction of $90 did i spend
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Question 434634: The following table shows deaths due to tuberculosis (TB) in two towns. Complete parts (a) through (c).
Town 1 Population TB Deaths
Whites: 4,656,000 8200
Nonwhites: 97,000 700
Total: 4,753,000 8900
Town 2 Population TB Deaths
Whites: 84,000 130
Nonwhites: 47,000 160
Total: 131,000 290
a. Compute the death rates for whites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death rates for nonwhites in Town 1. __% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 1. __% (Round to the nearest hundredth as needed).
b. Compute the death rates for whites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for nonwhites in Town 2. ___% (Round to the nearest hundredth as needed).
Compute the death rates for all residents in Town 2. ___% (Round to the nearest hundredth as needed).
c. Explain why this is an example of Simpson's paradox and explain how the paradox arises. Choose the correct answer below.
(a) The rates for both whites and nonwhites was higher in Town 1 than Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The percentage of nonwhites was significantly lower in Town 2 than in Town 1.
(b) The rates for non whites was higher in Town 1 than in Town 2, yet, the overall rate was higher in Town 2 than in Town 1. The total number of people was significantly higher in Town 1 than in Town 2.
(c) The rates for whites was higher in Town 1 than in Town 2, as the rate for nonwhites was higher in Town 1 than in Town 2. The percentage of whites was significantly higher in Town 2 than in Town 1.

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Question 434765: if the midterm is worth 3/5 of my grade and the final is worth 2/5 of my grade. I need a 70% to pass the class and I received an 88 on the midterm what grade do I have to get on the final to pass?
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Question 434817: The ratio of students to teachers is 40 to 3. How many teachers are there when there are 65 students?
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Question 434877: the markup on a rug is $56. if the dealer uses a 35% markup on the cost,what was the cost of the rug ?
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Question 435026: 30% of the tickets sold by the movie theater for the friday night show were children's tickets at $4 each. The rest of the tickets were sold at the full price of $8.50. The movie theater collected $360 just for the children'stickeys. How many tickets did they sell in all?
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Question 435062: If the ratio o freshmen to sophomores is 4:5 and there are 120 freshmen, how many sophomores are there?
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Question 435061: Write the ratio in simplest form 3 km to 200 m
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Question 435061: Write the ratio in simplest form 3 km to 200 m
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Question 435314: The ages of two brothers are in the ratio two to three, but in eight years, the ratio of their ages will be three to four. What is the age of the older brother?
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Question 435435: In a company, 3/5 of programmers know FORTRAN, 1/6 know COBOL and 1/10 know both. What fraction know neither FORTRAN nor COBOL?

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Question 435435: In a company, 3/5 of programmers know FORTRAN, 1/6 know COBOL and 1/10 know both. What fraction know neither FORTRAN nor COBOL?

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Question 435974: Please help, I can't seem to figure this one out!
R(x)=200x-0.01x^2
C(x)= 38x+0.01x^2
Producing and selling how many units will give maximum profit?
What is the maximum possible profit?
I tried P(x)=R(x)-C(x) but I can't get it to a quadratic equation I can solve.

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Question 436096: . Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?

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Question 436178: 12 m/sThe energy, E, released when an object is stopped varies directly as the square of its velocity, v. If an object releases 600kj of energy when stopped from a velocity of 5m/s. How much energy is released when it is stopped from a speed of 12m/s?
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Question 436178: 12 m/sThe energy, E, released when an object is stopped varies directly as the square of its velocity, v. If an object releases 600kj of energy when stopped from a velocity of 5m/s. How much energy is released when it is stopped from a speed of 12m/s?
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Question 436180: The heat H developed in an electric resistor varies jointly as the time t and the square of the current i in the resistor. If H^0 joules of heat are developed in t^0 seconds with i^0 amperes passing through the resistor:
i) Set up the proportionality relationship.
ii) How much heat is developed if both the time and the current are tripled?

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Question 436175: The price of a TV is reduced from $500 to $400. A DVD player costing $1250 is reduced in the same ratio as the TV. What does the DVD player sell for?
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Question 436169: Nita can mow a lawn in 90 minutes. Pedro can do it in 60 minutes. If Pedro starts 10 minutes after Nita has begun, how many minutes are needed to mow the lawn?
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Question 436811: Judy bought a coat at a 40% discount sale for 63.00. What was the original price of the coat.
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Question 436799: p=14,000, m = 14, r = 6% compounded annually
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Question 437042: ok so my question is: How many pieces of popcorn have you eaten if you've had 1/10 of 1/3 of 1/4 of 720 pieces divided by 1/2?
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Question 437098: Jennifer went on a shopping spree, spending a total of 124.00 on a skirt, a sweater and a pair of shoes. The cost of the sweater was 8/7 of the cost of the skirt. The shoes cost 8.00 less then the skirt. Find the cost of each item
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Question 436971: The formula h=-16t^2+vt gives the height h in feet of an object after t seconds when it is shot upward into the air with a velocity v in feet per second. After how many seconds will an object hit the ground if it is shot upward with an initial velocity of 240 feet per second?

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Question 436849: The acoustical intensity, I, of a sound wave is proportional to the square of the pressure amplitude, P, and inversely proportional to the velocity, v, of the wave. If I=0.6W/m^2 for P=30.0Pa and v=150m/s, find v if P=50 Pa and I=2.4W/m^2.
Please help

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Question 437255: Ann and Sean, paid $208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost $15 each and floor cost $22 each. How many of each type of ticket did they purchase ?
I have actually figured out the problem to be 8 balcony and 4 floor. The problem is that work has to be shown in algebraic form and I can't figure out how to set the problem up in algebraic form.

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Question 437255: Ann and Sean, paid $208 for concert tickets. They bought twice as many balcony tickets as floor tickets. Balcony tickets cost $15 each and floor cost $22 each. How many of each type of ticket did they purchase ?
I have actually figured out the problem to be 8 balcony and 4 floor. The problem is that work has to be shown in algebraic form and I can't figure out how to set the problem up in algebraic form.

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Question 437466: if 7 students in one class have pets and 18 do not, what is the ratio of the number of students who have pets to the total number of students?
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Question 437499: In a particular town, seven-eighths of the adult males are married to two-thirds of the adult females who live there. Find the pro potion of married individuals in relation to the adult population of that town.
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Question 437497: Melissa earns 10% more per hour than her friend Jonathan. Louise makes 25% less per hour than Jonathan. What us the ratio of Louise's salary to Melissa's?
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Question 437599: how many gallons of a 90% antifreeze solution must be mixed with 90 gallons of 15% antifreeze to get a mixture that is 80% antifreeze?
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Question 437689: emmy plans to hike 32 miles this weekend. on saturday,she hiked 24 miles . what percent of her goal has emmy hiked ?
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Question 437783: A. The ratio of fiction books to nonfiction books in a library containing 1050 fiction books and 1890 nonfiction books
B. the ratio of to fiction books in the library in part (A)

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Question 437882: can you help me with this problem---- by the way thank you very much for the help
Sterling silver is made of an alloy of silver and copper in the ratio of 37:3.If the mass of a sterlin silver ingot is 600 grams,how much silver does it contain. ( the choices are)
a)48.5 g
b)200 g
c)450 g
d)555g

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Question 437989: I really don't understand ratios (I really need help with this problem). Twelve of the 27 students in the class are boys. What is the ratio of girls to boys in the class? can you put scratchwork with it to please and thankyou
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Question 438024: A softball player's batting average is the ratio of hits made to the number of times at bat. If Sylvia's batting average is 0.400, how many hits did she get in 25 times at bat?
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Question 438041: An $80 sweater was marked down 20%. What is the sale price of the sweater?
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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