Direct proportionality - math word problems - page 24 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
- Unknown number 5
Daniel thinks of an integer. When he changed this number to a ratio of 2:5, he got the number 2.8. Determine what number Daniel thinks. - Coefficient: 3849
Determine the similarity coefficient: a) 4.8; 5.6; 8.4 b) 1.44; 1.68; 2.52 - Numbers 3819
Change the numbers 48, 27, and 36 in a ratio of 5:3. - Prism bases
Volume perpendicular quadrilateral prism is 360 cm³. The edges of the base and height of the prism are in the ratio 5:4:2. Find the area of the base and walls of the prism.
- Surfaces 3793
The volumes of the two cubes are in the ratio of 27:8. What is the ratio of the surfaces of these cubes? - Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams. - Sides ratio
Calculate the circumference of a triangle with an area of 84 cm² if a:b:c = 10:17:21 - Unknown amount of money
Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money Damian got and how much Denis got. - Painting rooms
If Daniel paints for three hours daily, he completes it in 7.5 days. How many hours a day would he have to work to finish the job 1.5 days earlier?
- Dalibor 3744
Milan and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milan have to give to Dalibor so their payments were 1:4? - Distance 3742
The sprinter ran a distance of 500 meters in 61 seconds. How long would it take him to run a distance of 1,200 meters if he kept running at the same pace? - Good swimmer
A good swimmer swims 23 m distance with ten shots. How many shots does he swim to an island located at 81 m if he still swims at the same speed? - Sugar
From 3 tons of sugar, beet produced 480 kg of sugar. How many tons of sugar was produced from 17.5 tons of sugar beet? - Steps
Patrick's step is 65 cm long, and his dad's step is 10 cm longer. Dad goes bridge in 52 steps. How many steps will go to the same bridge by Patrick?
- Pumps
Four identical pumps fill the tank in 40 hours. How many pumps would we have to use if we wanted to save 8 hours? - Weight 3618
Fifty pins with the same weight weigh 4.6 grams. How much do 15 pins weigh? - Discount 3583
The TV cost € 420 after a 9% discount. How much did he cost before the discount? - Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Smokovec 3565
On a tourist map with a scale of 1:20 000, the distance between Starý Smokovec and Nový Smokovec is 24 cm. What is the actual distance?
The sidewalk is 50 m long. On a scale of 1:200, what will the length of the plot plan be?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
