Direct proportionality - math word problems - page 27 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
- Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Moneys in triple ratio
Milan, John, and Lili have a total of 344 euros. Their amounts are in the ratio of 1:2:5. Determine how much each of them has. - Ages
John, Teresa, Daniel, and Paul have a summary of 56 years. Their ages are in a ratio of 1:2:5:6. Determine how many years each has. - Distance 2877
On a map with a scale of 1:50,000, we measured the distance of places AB = 136 mm. The actual distance between cities A and B is:
- Shipwrecked 2854
The naval ship had 150 people on board and food supplies for 60 days. The captain took on board 30 shipwrecked sailors. For how many days do they have food supplies? - Millimeters 2851 On a 1:10,000 scale map, two cities are 8.5 cm apart. What distance in millimeters will these cities have on a 1:25,000 scale map?
- Millimeter 2844
The fastest animal in the world is the cheetah, which reaches a speed of 34 meters per second. One of the slowest animals is the snail, which travels at 1/2 millimeters per second. How many times is a cheetah faster than a snail? - According 2831 The owner of the house received two different plans for the new building. One with a scale of 1:100, followed by the builders, and the other with a scale of 1:25, according to which he will finish the interior. In the first plan, his living room was 7 cm
- Distributed 2825
The king distributed his horses to the three sons in a ratio of 7:6:4. The eldest son received 63 horses, the most of all the brothers. How many horses did the king share with his sons?
- Conservationists 2820
A group of nature conservationists (a total of 28 members) and a sports team (16 members) worked for 7 days to clean up the forest park with an area of 10 ha. How many days would conservationists have to work without the help of athletes? - Rectangular 2815
Calculate the actual proportions of the rectangular plot in meters, which has dimensions of 70 mm and 90 mm, on a 1:2000 scale plan. - Enough 2809
Five horses will eat oat stocks in 15 days. For how many days is the supply for three horses enough? - Identical 2804
Eighty identical light bulbs shine in the sports hall for two hours. How long does it take to consume the same energy from 100 such bulbs? - Construction 2798
The truck driver drives bricks for construction. If he went three times a day, he would produce the bricks needed for construction in 12 days. How many times a day does he have to go to finish work three days earlier?
- Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta? - Cutting 2768
Cutting a wooden board into five parts takes 20 minutes. All slices are the same length. How long would it take to cut into eight pieces if we still cut at the same speed? - Four-fifths 2764
There were 60 people at the rink, four-fifths of which were children under 15 years of age. A ticket for children under 15 costs €1 and for adults €2. a) How many children were there at the rink? b) How many adults were there? c) How many euros did they c - Dimensions 2761
The model aircraft is made on a scale of 1:250. Length is 200mm, wingspan 200mm. Find the dimensions of the actual aircraft. - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus, A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly.
The triangles ABC and XYZ are similar. Find the unknown lengths of the sides of the triangles. The lengths: a = 5cm, b = 8cm and x = 7.5cm z = 9cm.Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
