Direct proportionality - math word problems - page 27 of 35
Number of problems found: 697
- 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?
- Tmp workers
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?
- 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?
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