Direct proportionality - math word problems - page 29 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
- Traffic laws
Under traffic regulations, car lights can illuminate the road up to a maximum of 30 m. To check the reach of their car's dipped-beam lights, Peter stopped the car 1.5 m from the wall. The dipped-beam headlights are 60 cm high. At what height on the wall d
- Grandmother's clocks
Grandmother's clock is half a minute late every hour. Grandmother set the clock exactly at 8.00 AM. How many hours will show after 24 hours?
- New computer
The new computer processes a certain amount of data for 6 hours. How many hours will an older computer with a quarter lower performance process the same amount of data?
- Nectar
Nectar collected by bees contains 70% water. The nectar of the same process produces honey which has 19% water. How many kilograms of nectar do bees need to collect to make 1 kg of honey?
- Workers
Ten workers must pave the road for 22 working days. After four days were spent speeding up work, two more workers were added. a) After how many work days do workers complete the paved road? b) How many working days does a total paved road take?
- Motor oil
Thirty liters of oil cost 28.80 Euros. How much cost a liter?
- Disease
Farmers'cooperative had a supply of feed for 50 cows for six days. Cows got insidious disease after four days. Ten of them died. How many total days that farmers had feed cows?
- Painter 3
Dad wants to paint the wall high 250 cm, wide 230 cm with wallpaper. How many meters must he buy wallpaper if the wallpaper width is 60 cm?
- Bathroom
How much CZK do we pay for lining the perimeter walls of the bathroom with rectangular shapes with dimensions of 3.5 m and 4 m, high 1.5 m if 1 square m tile costs 300 CZK?
- Car model
The car model is 52 mm long, and the real car is 4524 mm long. What was the scale of the model car?
- Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area?
- Image scale
The actual image dimensions are 60 cm x 80cm and have a reduced size of 3 cm x 4 cm. At what scale was the image reduced?
- Ratio - rectangle
The rectangle has dimensions of 6 cm and 9 cm. When its dimensions increase in the ratio of 5:3, how many times does the area and perimeter increase?
- Scale of the map
Determine the map's scale, which is the actual distance of 120 km l represented by a segment 6 cm long.
- Rectangle - desc circle
The length of the sides of the rectangle is at a ratio of 1:3. The circle's radius circumscribed to the rectangle is 10 cm. Calculate the rectangle's perimeter.
- Cows
Four cows spent 16 bags of hay in 5 days. How many bags of hay sacks are needed for five cows for seven days?
- Runners
Thirty chocolates are prepared and distributed in the ratio of 3:2:1 for three runners (in first to third place). How much chocolate will get everyone?
- Apples
Mr. Vesely gives the market his own 48 kg of apples, 40 kg from Mr. Kovar, and 72 kg from Mr. Novak. They earned a total of 1,920 CZK. How must we divide income money for apples?
- String
Divide the string length 800 cm in ratio 1: 5
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