Word Problems Quiz

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| By Nmaurer

Nmaurer

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Quizzes Created: 1 | Total Attempts: 816

Questions: 5 | Attempts: 816 | Updated: Mar 20, 2023

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This quiz will assess students on solving basic word problems for Algebra I.

Questions and Answers

1.

Two machines can complete 5 tasks every 4 days. Let t represent the number of tasks these machines can complete in a 31-day month. Which proportion can be used to solve for the value of t?
- A.
  
  31/10 = t/4
- B.
  
  4/31 = t/5
- C.
  
  5/4 = t/31
- D.
  
  4/5 = t/31
Correct Answer
C. 5/4 = t/31

Explanation
The proportion that can be used to solve for the value of t is 5/4 = t/31. This proportion is derived from the given information that two machines can complete 5 tasks every 4 days. By setting up a proportion, we can determine how many tasks these machines can complete in a 31-day month (represented by t).

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2.

A bus travels 300 miles on 12 gallons of gasoline. At this rate, how many gallons will it need to travel 650 miles?
- A.
  
  25 gallons
- B.
  
  26 gallons
- C.
  
  5.5 gallons
- D.
  
  28 gallons
Correct Answer
B. 26 gallons

Explanation
To find the number of gallons needed to travel 650 miles, we can set up a proportion using the given information. We know that the bus travels 300 miles on 12 gallons of gasoline, so the ratio of miles to gallons is 300/12. We can set this ratio equal to the unknown number of gallons needed to travel 650 miles over 650 miles. Solving for the unknown, we find that the bus will need 26 gallons of gasoline to travel 650 miles.

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1
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3.

At a concert, people's hands were stamped as they walked in. To estimate the attendance, the staff randomly stamped 120 people's hand with a red stamp instead of a blue stamp. A random sample of 250 people in the crowd found 4 people with a red stamp. What is the best estimate for the size of the crowd?
- A.
  
  7500 people
- B.
  
  9375 people
- C.
  
  5625 people
- D.
  
  11,250 people
Correct Answer
A. 7500 people

Explanation
The best estimate for the size of the crowd is 7500 people. This is determined by taking the ratio of the number of people with a red stamp in the sample (4) to the total number of people stamped with a red stamp (120), and then multiplying it by the total number of people in the crowd (x). This can be expressed as (4/120) * x = 250. Solving for x, we get x = 7500. Therefore, the best estimate for the size of the crowd is 7500 people.

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0
4.

A nonstop bus ride from the bus stateion in Atlantic City, New Jersey, to the bus station in Albany, New York, took 6 hours. If the average speed of the bus was 21 m/second, what is the distance between the two bus stations, to the nearest kilometer.
- A.
  
  756 km
- B.
  
  454 km
- C.
  
  126 km
- D.
  
  350 km
Correct Answer
B. 454 km
5.

A jumbo je carries 330 passengers, 32 in first class and the remainder in coach. If the average first class ticket is $860 and the average coach ticket is $360, how much money will the airline gross if the plane is full?
- A.
  
  $267,800
- B.
  
  $201,300
- C.
  
  $137,780
- D.
  
  $134,800
Correct Answer
D. $134,800

Explanation
The total number of passengers on the plane is 330. Since 32 passengers are in first class, the remaining 330 - 32 = 298 passengers are in coach. The average revenue from first class tickets is $860, so the total revenue from first class is 32 * $860 = $27,520. The average revenue from coach tickets is $360, so the total revenue from coach is 298 * $360 = $107,280. Therefore, the total revenue from the plane is $27,520 + $107,280 = $134,800.

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Current Version
Mar 20, 2023

Quiz Edited by
ProProfs Editorial Team
Apr 25, 2011

Quiz Created by
Nmaurer

Word Problems Quiz

Two machines can complete 5 tasks every 4 days. Let t represent the number of tasks these machines can complete in a 31-day month. Which proportion can be used to solve for the value of t?

A bus travels 300 miles on 12 gallons of gasoline. At this rate, how many gallons will it need to travel 650 miles?

A nonstop bus ride from the bus stateion in Atlantic City, New Jersey, to the bus station in Albany, New York, took 6 hours. If the average speed of the bus was 21 m/second, what is the distance between the two bus stations, to the nearest kilometer.

A jumbo je carries 330 passengers, 32 in first class and the remainder in coach. If the average first class ticket is $860 and the average coach ticket is $360, how much money will the airline gross if the plane is full?