Direct proportionality - math word problems - page 14 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
- Pump
The pumps pumped six hundred eighty liters of water in 8 minutes. How many liters were spent in 56 minutes?
- Pumps
After the floods, four equally powerful pumps exhausted water from the flooded cellar in 6 hours. How many hours would it take to drain out with three equally powerful pumps?
- Hay bags
Four cows eat 16 hay bags in 5 days. How many bags will eat five cows in 7 days?
- Off-road 7696
The off-road car will travel 100 km with 10.5 liters. How many km will 116 liters cover?
- Five inlets
The tank can be filled with five equally powerful inlets. If four inlets fill the tank, it takes 30 minutes to fill one-third of the tank. How many minutes does it take to fill an empty tank if it is filled with all five inlets?
- Reading book
If I read 15 pages daily, I will read the book in 20 days. How many pages do I have to read a day if I want to finish the book in 12 days?
- Triangle perimeter
Calculate the triangle perimeter whose sides are in ratio 3:5:7 and the longest side is 17.5 cm long.
- Collection of stamps
Jano, Rado, and Fero created a collection of stamps in a ratio of 5:6:9. Two had 429 stamps together. How many stamps did their shared collection have?
- Circumference 7615
The sides of the rectangle are in a ratio of 3:5. Its circumference is 48 cm. Calculate the length of its diagonal.
- Diameter 7591
The pedal wheel on a bicycle has 28 teeth. The gear wheel on the rear wheel has 8 teeth. How many times does the rear wheel turn if we step on both feet 112 times? How many meters can we travel with it at least, and how much more if the rear wheel has a d
- Calculate 7580
The isosceles triangle XYZ has a base of z = 10 cm. The angle to the base is the sum of the angles at the base. Calculate the area of the triangle XYZ.
- Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle.
- Pupils
There are 32 pupils in the classroom, and girls are two-thirds more than boys. a) How many percent are more girls than boys? Round the result to a whole percentage. b) How many boys are in the class? c) Find the ratio of boys and girls in the class. Write
- Sugar production
From 1 ton of beet, 150 kg of sugar is produced. 450 kg of lime is consumed to clean 1 ton of sugar. Calculate how many kgs of lime are consumed when processing 1 ton of sugar beet.
- Determine 7488
The lengths of the edges of the two cubes are in the ratio 2:3. Determine how many times the surface of the larger cube is larger than the surface of the smaller cube.
- Chocolate
I have a box of chocolate - white, milk, and dark. The ratio of white to milk with dark is 3:4. The ratio of white and milk to dark is 17:4. Calculate the ratio between white, milk, and dark chocolate.
- Three-fifths 7413
The old mother baked 275 Christmas gingerbreads and kept three-fifths of them, dividing the rest among her children in a ratio of 3:4:2:1. How many gingerbreads did she give each?
- Distance 7296
The cyclist covered a certain distance in 9 hours. How many hours does a car need to travel four times more if it moves three times faster?
- Consumes 7282
A person consumes 20 grams of oxygen in 1 hour, and a jet aircraft up to 3 total of 3/4 tons. How much more oxygen does an airplane use per hour than a human?
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