Solving Equations: Word Problems - Examples & Practice
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- Word problems are math problems written in another language. In order to manage these problems, we need to take the words and translate them into mathematical expressions. Once …
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Jonathan Heller, Ians, Anusha Rahman
- (Videos) Steps to Solving Word Problems by mathman1024 This video by mathman1024 goes through the steps of solving word problems based on linear equations. Summary\large{\text{S…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- (Videos) Word Problems by mathman1024 This video by mathman1024 works through a word problem based on the length of different boards. Problems like this get easier when you draw…
By Alex Federspiel, Amy Feraco, Jonathan Heller, Anusha Rahman
- **Solving Word Problems ** To solve word problems, you need to translate the problem into numerical formulas. \\ Follow these steps to solve word problems. Identify the unknown …
By Eunji Kwon, Anusha Rahman
Problems 36
- The average of two positive real numbers is equal to their difference. What is the ratio of the larger number to the smaller one? Source: 2011−20122011-20122011−2012 Winter Onli…
- Calvin was asked to evaluate 37+31×a37 + 31 \times a37+31×a for some number aaa. Unfortunately, his paper was tilted 454545 degrees, so he mistook multiplication for addition (a…
- For how many ordered pairs of positive integers (a,b)(a,b)(a,b) with a,b<1000a,b<1000a,b<1000 is it true that aaa times bbb is equal to b2b^2b2 divided by aaa? For example, 333 …
- In a bag of colored marbles, 13\frac{1}{3}31 of all marbles are purple, 25\frac{2}{5}52 of all marbles are yellow, and the remaining 888 are orange. What is the total number o…
- 231231231 students went on a field trip. Seven buses (all of the same size) were filled and 141414 students drove themselves. How many students were in each bus?
- Josh has 300\300300 to spend on video games. After buying 555 games he has 50\5050 left. How much did each video game cost, on average?
- The sum of three consecutive numbers is 727272. What is the smallest of these three numbers?
- Anna bought 111111 new cookbooks. A week later half of her cookbooks were destroyed in a fire. There are now only 323232 cookbooks left. With how many did she start?
- Anna spent 45.34\45.3445.34 on shoes. This was 16.34\16.3416.34 less than twice what she spent on a dress. How much did the dress cost, in dollars?
- One number is 10.6710.6710.67 more than another. The sum of twice the smaller number plus three times the larger is 52.3852.3852.38. What are the two numbers? Round to the neare…
- Divide 76.23\76.2376.23 among three people so the second will have 32\frac{3}{2}23 as much as the first and the third will have 6.25\6.256.25 less than the second. How much mon…
- Cooper has 123.45\123.45123.45. This is 4.16\4.164.16 more than 54\frac{5}{4}45 times what Nate has. How much does Nate have, in dollars? Round to the nearest hundredth.
- The sum of two numbers is 10039\frac{100}{39}39100. One of them is 439\frac{4}{39}394 more than the other. What is the larger number?
- You buy 200020002000 pencils for 505050 cents each, and you start selling them for 757575 cents each. How many do you need to sell to make a profit of exactly 200\200200? Write …
- A teapot is one-half full. After four cups of tea are poured out, the teapot is now one-third full. What is the capacity of the teapot, in cups?
- A team plays 303030 games in a year. If they have won 101010 of their first 151515 games, and if they want to win 80%80\%80% of its games over the year, how many of the final 15…
- If the ratio of 3x−y3x-y3x−y to x−2yx-2yx−2y is 34\frac3443, what is the ratio of xxx to yyy?
- How many miles does the hummingbird travel by the time the trains pass?
- What is the sum of all the possible values of xxx?
- The bases of a trapezoid have lengths 101010 and 212121, and the legs have lengths 34\sqrt{34}34 and 353 \sqrt{5}35. What is the area of the trapezoid? Express your answer as …
- In the morning, Esther biked from home to school at an average speed of xxx miles per hour. In the afternoon, having lent her bike to a friend, Esther walked back home along the…
- Stephen Queen is a best selling author. A friend of his, Sam, asks Stephen if he could donate some copies of his new book to the school Sam works at. Stephen's newest book is me…
- Josh is taking xxx classes in school. Each class gives about 474747 minutes of homework. He also wants to play video games with friends for about 444 hours. At the end of the da…
- Reciprocalitis is a common disease that affects every 222 out of xxx Frightened people. Bridgette, a nurse, is working on treating people with reciprocalitis in the hospital. Sh…
- The Pai family drove from their home into the country at a speed of 808080 km/hr. They returned over the same road at 707070 km/hr. If the round trip took 666 hours, how far did…
- A scout in a canoe can travel 121212 km/hr in still water. If the scout traveled 303030 km downstream in the same time that it took to travel 151515 km upstream, what was the ra…
- A plane flew a total of 3,5203,5203,520 miles at the average rate of speed of 320320320 mph. How long did it take the plane to cover this distance?
- If he starts with 191919 heads, how many days will it take for the hydra to have one head remaining?
- Chuck makes chocolate. For every Nutty Bar he makes, he makes 222 Choco-Yum bars. If he has 138138138 Choco-Yum bars, how many Nutty Bars did he make?
- How many pizzas should be ordered?
- The above table displays the frequency of scores on an AP exam. The mean of the scores is 333. What is the value of xxx in the table?
- Keeping with the tradition of giving red envelopes during the Chinese New Year, you and your cousins always exchange envelopes in order to pass along good luck. In your group of…
- Suppose the average length of a drive-thru is 250250250 feet. Furthermore, suppose your car gets 23.623.623.6 miles per gallon. The cost of a gallon of gas is 2.29\2.292.29. Abo…
- If the tournament was now played in a double elimination style, what is the maximum number of games necessary to determine a third place winner?
- x=n(n+1),x=n(n+1),x=n(n+1), and is a prime number. What is the value of xxx?
- Some types of jellyfish are immortal and can clone themselves if they get injured. If a jellyfish that was cloned in 178317831783 was rediscovered in the year 302430243024, how …