Direct proportionality - practice problems - page 4 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
- Children 81675
Mikuláš came to hand out gifts on December 6th and found out that he could hand out gifts to five children in 15 minutes with only one helper. How many minutes did they give out gifts to 40 children if Santa called 5 helpers? - Simultaneously 81612
Milan, who is 1.85 meters tall, casts a shadow of 74 cm. How tall must Emil be if he casts a shadow 6 cm longer than Milan simultaneously? - Components 81552
Gunpowder is made from a mixture of coal, sulfur, and lignite, with 4 times more lignite than sulfur and 3 times more sulfur than coal. Calculate how many kilograms of individual components are needed to produce 240 kg of gunpowder.? - Notebooks 81398
Petr paid CZK 288 for 12 new notebooks. How much would he pay for 15 identical notebooks?
- Minutes 81382
The water barrel filled to 2/3 of its volume in 42 minutes. How long will it take to fill the barrel? - Through 80963
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them? - Daughter 80855
Mother and daughter walked side by side. They walked 378 meters, and the mother took 840 steps. Before the mother takes 3 steps, the daughter takes 4 steps. What is the mother's stride length? How many steps did the daughter take? - Calculate 80741
In the camp, the children made a mock-up of the campsite. In its center was a maple, which had a height of 28 cm on the model. Calculate the height of the maple in the campsite if, in the morning, it casts a shadow 14 m long and its model has a shadow 49 - Application 80696
A worker makes 12 furs in 12 hours. One truck has 20 m³. The price for the application is 2.45 euros/m³. What will be the hourly output in euros?
- Calculate 80625
Half a kg of coffee costs CZK 124. Calculate how many crowns you will pay for 3/4 kg of this coffee. - Kilograms 80532
75 kg of flour is ground from 100 kilograms of wheat. How much wheat is needed to obtain 135 kg of flour? - Martin: 80465
Kuba, Martin, and Pepa earned CZK 1,813. They divided them in the ratio Cuba: Martin 6:5. Martin: Pepa 2:3. How many crowns did each of them get? - Proportional relationship 2
If y is proportional to x, and y=150 when x=2.4, what is the value of y when x=3.5 - Rectangular 79594
The ratio of the number of liquids to the solid components of the diet in (kg) should be about 7:2. Show in a rectangular coordinate system the dependence of the amount of a solid food component on its total amount.
- Proportion 79414
There are 45 seats on the bus. Six passengers are standing, and the remaining 18 are seated. What fraction of passengers are standing? What proportion of passengers are seated? How many seats are unoccupied? How many people would have to be on the bus to - Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa - Baking 5
Baking 120 kg of bread requires 87 kg of flour. How many kilograms of flour will be needed to bake 400 kg of bread? - Six pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take to use only five pipes of the same type? Give your answer in hours and minutes. - Thabo
Thabo uses 3 ½ liters of petrol per week for his motorcycle. How long will he be driving with 49 liters?
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