Direct proportionality - math word problems - page 17 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
- Two discounts
The MP4 player cost 960 CZK, and the price was twice gradually reduced in the ratio of 4:3:3/2. How much did the player cost after the second discount?
- Motorcyclist 6145
The cyclist covered a certain distance in 6 hours and 15 minutes. How long will it take for a motorcyclist to travel five times more if he travels three times faster?
- Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women
- Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
- School 6127
The gym at the school is 12 m wide and 1800 cm long. Draw it on a scale of 1:500
- Strawberries 6125
Friends Marika and Katka decided to prepare strawberry jam together according to the recipe. They needed 50g of sugar for 0.5kg of fruit. How many kilograms of sugar must the friends prepare if they make jam from 2.3 kg of strawberries?
- The bulbs
The bulbs are connected serially to two bulbs and one resistor. Each bulb has a resistivity of 100 ohms, and the resistor has a resistivity of 60 ohms. The voltage source in the circuit is 24 volts. Do you know what voltage to measure on individual applia
- Naturally 6121
The ratio of the two natural numbers is 2:3. The smaller natural number from this pair is 12. Calculate the larger.
- Lecturers 6099
Three lecturers will create 75 tasks in two and a half days. In how many days will it take at least five lecturers to create enough exercises for the exercise book, which should contain 300 exercises? (we assume that all tutors are equally efficient and w
- Map scale
The rectangular plot has a scale of 1:10000 and an area of 3 cm² on the map. What area does this plot have on a 1:5000 scale map?
- Cuboid
The sum of the lengths of the three edges of the cuboid that originate from one vertex is 210 cm. The edge length ratio is 7:5:3. Calculate the length of the edges.
- Minutes 6071
What is the angle of the big hand of the watch in 20 minutes?
- Consumption 6068
In two months, the Novák family consumed 624 kWh of electricity during the day and 3018 kWh at night. How much kWh of electricity will the Novák family consume now in two months at the daily rate, and how much at the night rate if they decide to reduce co
- Line segment
The 4 cm long line segment is enlarged in the ratio of 5/2. How many centimeters will the new line segment be long?
- Electric energy
There are 875 identical light bulbs in the sports hall lighting for 2 hours. How long does the same amount of electricity consume 100 such bulbs?
- Seedlings 6051
A forest nursery needs an area of 1.25 square meters per pine seedling. How many pine seedlings are planted in an area of 9 acres?
- Consumption 6050
The car has an average gasoline consumption of 6.5 liters per 100 kilometers. How many kilometers will a full tank with a volume of 52 liters be enough at average consumption?
- Saturday 6031
You need to read 105 pages of the book over the weekend. You know that the time you can spend reading on Saturday and Sunday is 3:4. How many parties do you plan for Saturday, and how many for Sunday?
- Capacity 5999
The tank is filled in 1 hour and 12 minutes with a pump with a capacity of 25 l/s. How long does filling the tank with a 20 l / s pump take?
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