Direct proportionality - math word problems - page 10 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
- 4-member 23681
A four-member group planned to paint the school for ten days. After two days, one member fell ill. If they worked with the same effort, how many days were the school painted?
- Drying
The raw wood beam weighs 85 kg. It is calculated that drying will reduce its weight in a ratio of 5:6. What will be the weight of this beam after drying?
- The farmer
The farmer calculated that the supply of fodder for his 20 cows was enough for 60 days. He decided to sell two cows and a third of the feed. How long will feed the rest of the peasant's herd last?
- Distance 22891
The cities of Košice and Prešov are 39.5 km apart. What will be their distance on a map with a scale of 1:5000000?
- Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m?
- Performance 22343
The theatrical performance was attended by 258 students who paid 129 euros. How many students have to see the show to raise to 150 euros?
- Daughter's 22333
The daughter's step measures 50 cm, and the father's step measures 70 cm. The daughter counted 294 steps on the measured section. How many steps will her father take in the same section?
- Substance 22323
We paid 99 euros for 8 meters of fabric. How much do we pay for 9.5 meters of the same substance?
- Approximately 22313
Four friends working at approximately the same pace took part in the summer brigade, harvesting apples. They peeled 68 boxes of apples in the morning. How many friends would they have to call for help if they robbed 187 crates in the same amount of time?
- Passengers 22303
The bus driver collected 17.5 euros for 25 adult bus tickets. How many euros will 36 adult passengers pay?
- Students 22293
Eight pupils modified the school plot in 2 hours. How many students do we have to send to modify the school grounds if we do not want to exceed the 1.5-hour limit?
- Company's 22283
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building?
- Course 21753
The course is 80m long. What will be its length on the plan at a scale of 1:500? (in cm)
- Plums
By drying 3 kg of fresh plums, we obtained 750 g of dried plums. How many kilograms of fresh plums need to be dried if we want 1.5 kg of dried plums?
- Cardholders 21563
Two cardholders will build a tower of cards in 0.5 hours. In how many hours will five such a tower be built?
- A bucket
A bucket has 4 liters of water when it is 2/5 full. How much can it hold?
- Indicated 20943
Calculate the actual distance on a map of 2 cities, which is indicated on the map by a line 6 cm long.
- Powerful 20773
The 300 liters per minute water starts to flow into the empty pool. We will fill the pool in 5 hours. How long would it take to fill a pool with a more powerful 750L pump per minute?
- The orchard
Four temporary workers harvested the orchard in 9 days. How many temporary workers do we need for six days?
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