proportion

A school has a boy to girl ratio of 6:7. If there are 288 boys, how many girls are there? 6 boys/7 girls = 288 boys/g girls Using our proportion calculator, we get: g = 336

The scale on a map is 1 inch = 60 miles. If two cities are 75 miles apart, how far apart are they on the map? Set up a proportion of inches to miles where n is the number of inches for 75 miles 1 inch/60 miles = n/75 Using our proportion calculator, we get: n = 1.25 inches

Brandon can shovel his sidewalk in 8 minutes, while his brother can shovel the walk in 12 minutes. If they work together, how long will it take them to shovel the sidewalk? Set up unit rates: Brandon can shovel 1/8 of a sidewalk per minute His brother can shovel 1/12 of a sidewalk per minute...

Hose A can fill a pool in 4 hours. Hose B can fill the pool in 2 hours. If both hoses are turned on at the same time how long will it take to fill the pool? Hose A can fill the pool in 1/4 of the pool an hour Hose B can fill the pool in 1/2 of the pool an hour In one hour using combined...

Dave paints a fence in 4 hours while Sara paints the same fence in 2 hours. If they work together, how long will it take them to paint the fence? Set up unit rates: Dave paints 1/4 of the fence in 1 hour Sara will paint 1/2 of the fence in 1 hour So together, they paint 1/2 + 1/4 = 2/4 + 14 =...

Liam, a 19th century cowboy, carries an 1847 Colt single action 6 shooter revolver. So proficient is he with this weapon that when he fires all 6 shots in a row, the time between the first bullet and the last is 40 seconds. How long would it take him to fire 4 shots? We set up a proportion of...

You were able to send 30 snapchat stories in 9 minutes. At this rate, how many snapchat stories can you send in 21 minutes? Set up a proportion of stories to minutes where s is the number of Snapchat stories you can send in 21 minutes: 30/9 = s/21 To solve this proportion for s, we type it in...

how many sixths equal one-third We have a variable x where we want to solve for in the following equation: x/6 = 1/3 Typing this proportion into our math engine, we get: x = 2

If x = b/a, then ax = b Yes, because we cross multiply to get: x = b/a ax = b

Leilani can read 20 pages in 2 minutes. if she can maintain this page, how many pages can she read in an hour? We know that 1 hour is 60 minutes. Let p be the number of pages Leilani can read in 1 hour (60 minutes) The read rate is constant, so we can build a proportion. 20 pages /2 minutes =...

a stone mason builds 7 houses in 3 days. How many days does it take to build 11 houses? The build rate of houses per days is proportional. Set up a proportion of houses to days where d is the number of days it takes to build 11 houses: 7/3 = 11/d Cross multiply: Numerator 1 * Denominator 2 =...

a recipe of 20 bread rolls requires 5 tablespoons of butter. How many tablespoons of butter are needed for 30 bread rolls? Set up a proportion of bread rolls per tablespoons of butter where t is the amount of tablespoons of butter needed for 30 bread rolls: 20/5 = 30/t Cross multiply our...

I only own blue blankets and red blankets. 8 out of every 15 blankets I have are red. If have i 45 blankets, how many are blue? If 8 out of 15 blankets are red, then 15 - 8 = 7 are blue So 7 out of every 15 blankets are blue. Set up a proportion of blue blankets to total blankets where b is...

Yesterday a car rental agency rented 4 convertibles and 30 other vehicles. Considering this data, how many of the first 68 vehicles rented today should you expect to be convertibles? 30 other vehicles + 4 convertibles = 34 cars 34 * 2 = 68 30 * 2 other vehicles + 4 * 2 convertibles = 68 cars...

3/8 of income is rent. 360 is rent. How much is annual income Let i equal the annual income. We're told the following: 3i/8 = 360 To solve for i, we type this in our math engine and we get: i = 960

A bakery offers a sale price of $3.50 for 4 muffins. What is the price per dozen? 1 dozen = 12 muffins What this problem is really asking, $3.50 for 4 muffins. Let p be the price for 12 muffins (1 dozen). Set up a proportion of cost to muffins. 3.50/4 = p/12 Using our math engine, we type...

Sam can pick 56 apples in 30 minutes. How many can he pick in 45 minutes? We set up a proportion of apples to minutes where a is the number of apples Sam can pick in 45 minutes. 56/30 = a/45 Using our math engine, we type this proportion into our search box and get: a = 84

A direct variation includes the points ( – 5, – 20) and (n,8). Find n. Slopes are proportional for rise over run. Set up a proportion of x's to y's: -5/n = -20/8 To solve this proportion for n, we type it in our math engine and we get: n = 2

Five sets of ear buds cost $53.15. How much will 9 sets of ear buds cost? Set up a proportion of earbuds to cost where c is the cost of 9 ear buds: 5/53.15 = 9/c To solve this proportion for c, we type it in our math engine and we get: c = 95.67

How many twelfths equal three-sixths? We set up the equation below where x is the number of twelfths in three-sixths: 1/12x = 3/6 Cross multiply, and we get: 12x * 3 = 6 * 1 36x = 6 To solve for x, we type this in our math engine and we get: x = 1/6 or 0.16667