Direct proportionality - math word problems - page 13 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
- Proportion 9931
The area of Asia and Africa is 3:2, and the area of Europe and Africa is 3:7. In what proportion are the sizes of Asia, Africa, and Europe? - Painters
Ten painters will paint the school in 20 days. How many days do four painters paint the school at the same pace of work? - Identical 8831
In triangle ABC, point P lies closer to point A in the third of line AB, point R is closer to point P in the third of line P, and point Q lies on line BC, so the angles P CB and RQB are identical. Determine the ratio of the area of the triangles ABC and P - 5000 8761
The garden has an area of 5000 m². What is its image area on a 1:1000 scale on the plan?
- Proportion 3
For every eight mango trees in the orchard, there are 4-star apple trees. If there are 1320 trees, how many trees of each kind are there? - Rectangular 8601
The rectangular plot has dimensions of 48 mm and 72 mm on the plan on a scale of 1:5000. Calculate its dimensions and give the results in meters. - The perimeter 3
The perimeter of a rectangle is 35 cm. The length ratio to its width is 3:2. Calculate the rectangle's dimensions. - A sculptor
A sculptor is duplicating a statue based on an original statue. If the scale factor of the replication is 3.2, will the new statue be larger or smaller than the original statue (enter 1 = larger, 0= smaller) - The chimney
The chimney casts a shadow 45 meters long. The one-meter-long rod standing perpendicular to the ground has a shadow 90 cm long. Calculate the height of the chimney.
- Assembly parts
Nine machines produce 1,800 parts on nine machines. How many hours will it produce 2 100 parts on seven such machines? - Square 8198
In 2 hours, 100m square, what is an area in 3 hours? - Cyclist
Cyclist drives 5 km in half an hour. How long will you drive in 3 hours? - Cook on gas
The gas cylinder will last 30 weekends for 2 hours of daily cooking. How many days will we be able to cook on a new cylinder when we cook for 3 hours a day? - Expenditure 8083
One paid 500 CZK. Three paid in a ratio of 3:4:5. The smallest expenditure was CZK 360. How much was the total expenditure?
- Meeting 8082
George makes steps 60 cm long. He will take 1530 steps on the way to school. How many steps will his father take to the class meeting if he makes steps 85 cm long? - Employees 8053
The company paid three employees 50 euros, 100 euros, and 60 euros. They are to receive a total of 735 euros for further work. How will they divide this amount if it is divided in the ratio as in the first case? - Kilograms 7995
One owl catches 1000 mice. One mouse destroys 1kg of grain. How many kilograms of grain will save ten owls? - Available 7968
Michal is a hare breeder. He knows that seven hares will eat 98 doses of food in 7 days. How many must equal doses of food be available to have enough for six days for five hares? - National park
In the national park, the ratio of the wooded area to grassland is 4:1. The total area is 385 km². What area is wooded?
The rectangular plot has dimensions of 50 m and 100 meters. On the plain, its circumference is 60 cm. To what extent is the plan made?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
