Direct proportionality - math word problems - page 23 of 35
Two sequences of numbers are proportional if their corresponding elements have a constant ratio. Direct proportionality is the dependence of two quantities, such that the number of times one quantity increases, the other quantity increases as many times. In other words: direct proportionality is a relationship in which it applies: in what proportion one quantity changes, in that proportion the other quantity also changes.For example:
For 1 euro, I buy 10 rolls, then for 2 euros I buy 20 rolls in the same store.
A car travels at a constant speed, then the distance traveled is directly proportional to the time spent traveling, with the speed being the constant of proportionality.
Number of problems found: 688
- Cuboid - ratios
The sizes of the edges of the cuboid are in the ratio of 2:3:5. The smallest wall has an area of 54 cm². Calculate the surface area and volume of this cuboid.
- Distance 4268
The map's scale is 1:10000. What is the actual distance of 4cm on the map?
- Three-quarters 4216
The machine moves 36 products in half an hour. How many products will move in three-quarters of an hour?
- The land
The land in the shape of a square has 9 ha. How big a side will the land have at a scale of 1:5000?
- Underwater 4189
The water pillar is partly embedded in the ground, partly underwater, and protrudes 55 cm above the water. The length of the part above the water to the length of the part in the water is in the ratio of 1:2. The length of the part above the water to the
- Workers 4168
Ten workers managed to repair the road in 22 days. After four days, two more workers joined to speed up the work. How many days does it take to repair the road?
- Pumps
Five pumps pumped 1,800 hl of water for 3 hours. How many hectoliters of water did the same two powerful pumps pump for six hours?
- Breads and bakery
In the bakery, the baker baked 3900 pieces of bread in 6 days. How many breads are baked in one day? How many bakes per month (month=30 days)
- Ornamental shrubs
Children committed to planting 240 ornamental shrubs. Their commitment, however, was exceeded by 48 shrubs. Write the ratio (r) of actually planted shrubs and commitment by the lowest possible integers a/b.
- Dried apples
How many kilograms of fresh apples are needed for 120 kg of dried apples when we get 75 kg of dried apples from 0.4 tons of fresh apples?
- Baking bread
When grinding 100 kg of grain, we obtain 75 kg of flour for food purposes, about 23 kg of bran, which has further use, and about 2 kg is waste. 4.5 kg of bread is baked from 4 kg of flour. a) Baker can bake how many kilograms of bread from 100 kg grain? b
- Bicycle gears
The toothed wheel on the bicycle pedal has 40 teeth, and the wheel on the rear wheel has only 16 teeth. How many times does the rear wheel turn if the pedals rotate 50 times?
- Gasoline
The chauffeur paid 54 euros for a nearly full tank of 40 liters of gasoline. If the car has an average fuel consumption of 7 liters per 100 kilometers, how many euros will it cost to travel 250 km?
- Rails
18 m railway weighs 1260 kg. How much weighs 100 m of welded railways?
- Three friends
Three friends divided the profit by 104,650 CZK so that for every 4 CZK, which got the first friend, equals five crowns for the second, and for every 9 CZK, which got the second, equals 16 CZK for the third. Question: Who got the most and how much?
- Three children
Three children eat eight chocolates in 6 days. How many chocolates do six children eat in 18 days?
- Students 3890
Three students drink 2 liters of milk a week. How many liters of milk do nine students drink in two weeks?
- Change the numbers in the ratio
Change the numbers 29, 38, and 43 in a 3:4 ratio.
- Runner 2
Marian runs 12 meters in 8 seconds. How far would Marian run for 70 seconds if he still runs at the same pace?
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