proportion

Mackenzie baked 12 cookies with 2 scoops of flour. How many scoops of flour does Mackenzie need in order to bake 18 cookies? Assume the relationship is directly proportional. Set up a proportion of cookies to scoops with s as the number of scoops needed for 18 cookies: 12/2 = 18/s To solve for...

The fraction has a value of 3/5. The sum of the numerator and the denominator was 40. What was the fraction? We're given two equations with a fraction with numerator (n) and denominator (d): n + d = 40 n/d = 3/5 Cross multiply equation 2, we get: 5n = 3d Divide each side by 5: 5n/5 = 3d/5 n...

A photographer snapped 224 photos over a period of 15 days. At this rate, how many would he take in 45 days? Set up a proportion of photos to days where p is the number of photos snapped in 45 days: 224/15 = p/45 To solve this proportion for p, we type it in our search engine and we get; p = 672

I have saved 24 to buy a game which is three-fourth of the total cost of the game how much does the game cost ? Let the cost of the game be c. We're given: 3c/4 = 24 To solve this equation for c, we type it in our search engine and we get: c = 32

Alya loves to read. She reads 90 pages in half an hour. How many pages does she read per minute? Set up a proportion of pages to minutes. Since 30 minutes is a half hour, we have the number of pages (p) for 1 minute as: 90/30 = p/1 To solve this proportion for p, we type it in our search...

Farmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows? Set up a proportion of gallons to cows where g is the number of gallons per 14 cows: 10/4 = g/14 To solve this proportion for g, we type it in our search engine and we get: g = 35

A 12-ounce bottle of shampoo lasts Enrique 16 weeks. How long would you expect an 18-ounce bottle of the same brand to last him? Set up a proportion of ounces to weeks were w is the amount of weeks an 18-ounce bottle will last: 12/16 = 18/w We type this proportion in our search engine to solve...

eight oranges are $1.00 how much would 5 dozen oranges cost? Set up a proportion of oranges to cost where c is the cost for 5 dozen = 60 oranges: 8/1 = 60/c To solve this proportion, we type it in our search engine and we get: c = 7.5

Martha's age 2/3 of her brother's age. Martha is 24 years old now. How old is her brother? Let her brother's age be b. We're given: 2b/3 = 24 To solve this proportion for b, we type it in our search engine and we get: b = 36

A copy machine makes 44 copies per minute. How many copies does it make in 5 minutes and 45 seconds Set up a proportion of copies to minutes where c is the number of copies for 5 minutes and 45 seconds. Since 45 seconds is: 45/60 = 3/4 of a minute, we have: 5 minutes and 45 seconds = 5.75...

A tree grows 35 cm in 2 years. If it continues to grow at the same rate determine how long it would take to grow 85 cm We set up a proportion of cm to years where y is the number of years it takes to grow 85 cm: 35/2 = 85/y To solve this proportion for y, we type it in our search engine and we...

the grass in jamie’s yard grew 16 centimeters in 10 days. how many days did it take for the grass to grow 1 centimeter We set up a proportion of centimeters to days where d is the number of days it takes for the grass to grow 1 centimeter: 16/10 = 1/d To solve this proportion for d, we type it...

Paul can walk 15 steps in 5 minutes How long does it take Paul to walk 75 steps at the same speed Set up a proportion of steps to minutes where m is the number of minutes to walk 75 steps: 15/5 = 75/m To solve this proportion for m, we type it in our search engine and we get: m = 25

Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary. Set up a proportion/ratio of head height to nose height where n...

A third of a pizza is 400 calories. How many calories in the whole pizza? Let c be the number of calories in the whole pizza. WE have: c/3 = 400 To solve this proportion for c, we type it in our search engine and get: c = 1,200

Sam finished 18 problems in one hour. How many hours will it take same to solve 80 problems Set up a proportion of problems to hours where h is the number of hours for 80 problems: 18/1 = 80/h To solve for h, we type this proportion into our search engine and we get: h = 4.44

A line has a slope of 1/2 and a run of 50. Find the rise of the line. Slope = Rise/Run We're given a run of 50, so let the rise be r. We have: r/50 = 1/2 To solve this proportion, we type it in our search engine and we get: r = 25

Belen can make 15 necklaces in 3 1/2 hours. How many can she make in one hour? We set up a proportion of necklaces to time, where n is the number of necklaces Belen can make in 1 hour: 3 & 1/2 = 3.5, so we have: 15/3.5 = n/1 To solve this proportion, we type it in our search engine and we get...

Ben can write 153 letters in 3 minutes. At this rate, how many letters can he write in 10 minutes? We set up a proportion of letters to minutes where the number of letters in 10 minutes is l: 153/3 = l/10 We type this proportion into a search engine and we get: l = 510

Deyjiana reads 30 pages in 25 minutes. If she reads 210 pages at this rate, how long will it take her? Set up a proportion of pages to minutes, were m is the number of minutes it takes to read 210 pages: 30/25 = 210/m To solve this proportion for m, we type this proportion into our search...