proportion

4 machines can complete a job in 6 hours how long will it take 3 machines to complete the same jobs? Set up a proportion of machines to hours where h is the number of hours that 3 machines take: 4/6 = 3/h Type this proportion into our search engine and we get: h = 4.5

A person that runs for 15 minutes burns 180 calories. If someone burns 300 calories, how long did tgey run for Set up a proportion of minutes to calories where m is the number of minutes per 300 calories: 15/180 = m/300 To solve for m, we type this proportion into our search engine and we get...

If Emma reads 1 page of a book in 44 seconds, how many pages will she read in 15 minutes Convert 15 minutes to seconds: 15 minutes = 60 * 15 = 900 seconds Set up a proportion of pages read to seconds where p is the number of pages read in 900 seconds (15 minutes): 1/44 = p/900 Typing this...

Sales tax is directly proportional to cost. If the sales tax on a 46000 automobile is $240, what is the sales tax on a $9000 automobile? Set up a proportion of sales tax to purchase price where s is the sales tax on a 9000 automobile: 240/46000 = s/9000 Typing this proportion into our search...

3 cartons of eggs for $5 what if the cost of 8 cartons Set up a proportion of cartons of eggs to price where p is the price of 8 cartons: 3/5 = 8/p Type this proportion into our search engine and we get: p = 13.33

A copy machine makes 28 copies per minute. how many copies does it make in 3 minutes and 45 seconds? 45 seconds = 45/60 = 3/4 of a minute. 3/4 = 0.75 So we have 3.75 minutes. Set up a proportion of copies to minutes where c is the number of copies made in 3 minutes and 45 seconds: 28/1 =...

Suppose we need 4 eggs to make a cake. If there are 24 eggs, write an inequality representing the possible number of cakes we can make. Set up a proportion of eggs to cakes where c is the number of cakes per 24 eggs: 4/1 <= 24/c Typing this proportion inequality into our search engine, we get...

if 65/100 = 117/x, what is x Type the proportion 65/100 = 117/x into our search engine and we get: x = 180

250 students have iPhones. This is one third of the population. How many students are there in total? Let the population be p. We're given: 1/3p = 250 Cross multiply: p = 250 * 3 p = 750

Marion Middle School has 600 students. Mike surveys a random sample of 30 students and finds that 7 of them play a musical instrument. How many students at the school are likely to play a musical instrument? Set up a proportion of those that play musical instruments to total students where m is...

8 bags weigh 14 pounds. how much do 20 bags weigh Set up a proportion of bags to pounds where p is the number of pounds for 20 bags: 8/14 = 20/p We type this proportion in our calculator and we get: p = 35

Dylan is playing darts. He hit the bullseye on 5 out of his last 20 tosses. Considering this data, how many bullseyes would you expect Dylan to get during his next 16 tosses? We have a proportion of bullseyes to tosses where b is the number of bullseyes for 16 tosses: 5/20 = b/16 Type this...

The Canucks lost 6 of their first 24 games. At this rate how many would the lose in an 84 game schedule? Set up a proportion of losses to games where l is the number of losses for 84 games: 6/24 = l/84 Typing this proportion into our search engine, we get: l = 21

3 people can build a shed in 8 hours, how long would it take 5 people We set up a proportion of people to hours where h is the number of hours for 5 people: 3/8 = 5/h Using our proportion calculator, we get: 13.3333 hours But what if the problem asks for minutes? Then we say 8 hours = 60 * 8...

How many rides per day to reach 150 rides in 90 days? Set up a proportion of rides per day where r is the number or rides per day: 150/90 = r/1 Type this proportion into our search engine and we get: r = 1.66 7

A camel can drink 15 gallons of water in 10 minutes. At this rate, how much water can the camel drink in 14 minutes? Set up a proportion of gallons of water over minutes where g is the number of gallons the camel can drink in 14 minutes: 15/10 = g/14 Typing this proportion into our search...

A 10 ounce serving of energy drink contains about 190 mg of caffeine approximately how much caffeine is in a 25 ounce of energy drink? Set up a proportion of caffeine to ounces where c is the amount of caffeine in a 25 ounce drink: 190/10 = c/25 Type this proportion into the search engine and...

Elsa took a total of 25 quizzes over the course of 5 weeks. After attending 8 weeks of school this quarter, how many quizzes will Elsa have taken in total? Assume the relationship is directly proportional. Set up a proportion of quizzes to weeks where q is the number of quizzes taken in 8...

6 times the reciprocal of a number equals 3 times the reciprocal of 7 . This is an algebraic expression. Let's take it in parts: The phrase a number means an arbitrary variable, let's call it x. x The reciprocal of a number x means we divide 1 over x: 1/x 6 times the reciprocal means we...

55 foot tall tree casts a shadow that is 32 feet long, a nearby woman is 5.5 feet tall. What is the length of shadow she will cast? Set up a proportion of height to shadow length where s is the shadow length of the woman: 55/32 = 5.5/s Typing this proportion into our search engine, we get: s = 3.2