Direct proportionality - math word problems - page 26 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 3343
Mom makes sheep's cheese and cow cheese spread in a 5:3 ratio for two children. What proportion do they have to mix sheep cheese and cow cheese if they make the same spread in the school cafeteria for 350 children? - Remuneration 3303
The annual remuneration of the two employees was a total of EUR 18,750. The remuneration of one of them in 6 months was the same as the other in a year. How big was the annual reward for each of them? - Engine pulley
The engine has a 1460 rev/min (RPM). The disc diameter is 350 mm. What will be the peripheral disc speed in RPM? Pulleys on the engine have a diameter of 80mm, and a disc has a diameter of 160mm. - Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality?
- Ratios
Reduce the numbers: 50 in a 1:2 ratio 111 at a ratio of 2:3 70 at 10:50 560 at a ratio of 3:8 - Workers 3235
Eight workers in 6 days sweep 2400 m² roads. How many m² will six workers clean in 4 days? - Passengers 3221
Express as a ratio: a/ There are 200 boys and 300 girls in the school. b/ The number of chocolates eaten will triple on Nicholas Day. c/ During the holidays, the number of bus passengers decreased by a quarter. - Sculpture 3215
Brass is an alloy of copper and zinc in a ratio of 3 to 2. How much copper and zinc does a sculptor need to make a brass sculpture that should weigh 15 kg? - Ratio
Write the ratio with other numbers so that the value is the same: 2:9
- The scale
The distance of 15 cm on the map corresponds to 27 km in reality. What is the scale of the map? - Grandfather's 3179
On a map with a scale of 1:5000, the grandfather's garden is represented by a rectangle measuring 4 cm and 3 cm. What dimensions will it have on a map scale of 1:4000? - Grandchildren 3177
My grandfather distributed CZK 1,600 among his grandchildren. He divides the amount proportionally to their ages. The grandchildren are 15, 12, and 6 years. How much will each of the boys get? - Calculate 3167
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Horizontal 3166
The road leading from place A to place B has a gradient of 9%. Considering that their altitudes differ by 27.9 m, determine the horizontal distance between them.
- Cylinder
The cylinder-shaped container has 80 liters of water. The water reaches 45 cm in height. How many water liters will be in a container if the water level extends to a height of 72 cm? Write the result in liters. Write down only as a whole or decimal number - Shadow and light
Nine meters height poplar tree has a shadow 16.2 meters long. How long does shadow have at the same time as Joe if he is 1,4m tall? - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8 - Stew
To prepare stew for ten loggers, we need 2.5 kg of potatoes, 0.8 kg of meat, 18 dag of flour, 30 dag onion, and one bread. What is the required amount of raw materials for 50 participants in camps where loggers eat 1.5 times more than a camp participant?
Three temporary workers cleaned 60 m of the walkway in 5 hours. How many meters of the walkway were cleared by seven volunteers for eight hours?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
