Fractions are friends, not food
A printer uses 1/8 cartridge per 120 pages.
How many pages can it print using 2 full cartridges?
0.125 cartridge / 120 pages = 2 cartidges/ x pages
0.125*x= 120*2
0.125*x=240
x= 1,920 pages
A recipe uses 4 cups of flour for every 6 cups of sugar. How many cups of sugar are needed if you use 10 cups of flour?
4 flour/ 6 sugar = 10 flour / x sugar
4*x= 6 *10
4*x=60
x=15 cups of sugar
A car uses 3.6 gallons of gas to travel 72 miles. How many miles can the car travel on 7.5 gallons?
3.6 gallons / 72 miles = 7.5 gallons/ x miles
3.6*x= 72*7.5
3.6*x=540
x= 150 miles
A painter covers 5/8 of a wall in one hour.
How much of the wall will be covered in 4.5 hours?
0.625 wall/ 1 hour = x wall/ 4.5 hours
0.625*4.5= 1*x
2.8125=x
x=2.8125 or 2 13/16 of a wall
For every 5 students, there are 3 textbooks. If 60 students are in a school, how many textbooks are needed?
5 students/ 3 textbooks = 60 students/ x textbooks
5*x= 3*60
5*x=180
x= 36 textbooks
A runner completes 2.4 kilometers in 18 minutes.
At the same pace, how far will they run in 30 minutes?
2.4 kil. / 18 min. = x kil. / 30 min.
2.4*30= 18*x
72=18*x
x= 4 kilometers
A chef uses 4 cups of rice to serve 5 people.
How much rice is needed to serve 12 people?
4 cups rice/ 5 people = x cups rice/ 12 people
4*12= 5*x
48=5*x
x= 9.6 cups or 9 3/5 cups of rice
A runner completes 15 laps in 24 minutes. How long would it take them to complete 25 laps at the same pace?
15 laps/ 24 min. = 25 laps/ x min.
15*x= 24*25
15*x=600
x= 40 minutes
For every 5 red marbles, there are 3 blue marbles. If I have 1,200 blue marbles, how many red marbles do I have?
5 red/ 3 blue =x red / 1200 blue
5*1200= 3*x
6,000=3*x
x= 2,000 red mables
A baker uses 5/8 cup of sugar for five cakes.
How much sugar is needed for 21 cakes?
0.625 cups sugar/ 5 cakes= x cups sugar/ 21 cakes
0.625*21= 5*x
13.125=5*x
x= 2.625 cups or 2 5/8 cups of sugar
A group of hikers covers 36 miles in 3 days, walking the same distance each day. At that rate, how far would they hike in 7 days?
36 miles/ 3 days= x miles / 7 days
36*7= 3*x
252=3*x
x= 84 miles
A cyclist travels 36 miles in 3/4 of an hour. If they cycle for 3.25 hours, how many miles did they travel?
36 miles / 0.75 hour = x miles / 3.25 hour
36*3.25= 0.75*x
117=0.75*x
x= 156 miles
A car uses 2 1/2 gallons of fuel to travel 50 miles.
How much fuel is needed to travel 120 miles?
2.5 gallons/ 50 miles= x gallons / 120 miles
2.5*120= 50*x
300=50*x
x=6 gallons
A painter uses 3/4 gallons of paint to cover 1/2 wall.
How much paint is needed to cover 13 walls?
0.75 gallons / 0.50 wall(s) = x gallons / 13 walls
0.75*13= 0.50*x
9.75 =0.50*x
x= 19.50 gallons of 19 1/2 gallons
A baker uses 5/8 cup of milk for 6 muffins.
If she wants to make 18 muffins and has only 1 cup of milk, does she have enough?
0.625 cups milk /6 muffins = x cups milk / 18 muffins
0.625*18=6*x
11.25 =6*x
x= 1.875 or 1 7/24 cup of milk needed for 18 muffins. So, she willl not have enough