Direct proportionality - math word problems - page 30 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
- Masons
One mason casts 30.8 meters square in 8 hours. How long casts four masons 178 meters square?
- Examples 1895
Examples of direct ratios from the given report topics: Number of workers Number of products Time per product Number of working hours Amount of earnings
- Troops - soldiers
Food stocks will last 20 soldiers during the four-day training. If four soldiers become sick, how many days could they extend training?
- Pumps 3
Two pumps of the same power fill the garden pool for 10 hours. How many of these pumps would we have to use if we want to shorten the filling of the pool to four hours?
- Supermarket cashiers
When only two checkouts are open in a supermarket, people wait in line for an average of 12 minutes. If three more ticket offices are opened, how much will the average waiting time in line be reduced?
- Hurry - rush
I will travel from the school to the bus stop at an average speed of 7 km/h for 30 minutes. How fast do I need to go if I need to get there in 21 minutes?
- Floating floor
In the new building, a floating floor worker is considered in each room. Thirty minutes lay 9 m² of the floor. How long did three workers lay the floor in four rooms with a total area of 90 m²?
- Peppers
In the box are yellow (a), green (b), and red (c) peppers. Their amount is in a ratio of 2:4:1. Most are yellow peppers and green the least. Calculate the peppers for each type if the total number is 70.
- Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm?
- Pennies
Eight hundred pennies have the same value as 100 ducats. One hundred pennies have the same value as 250 tolars. How many ducats have the same value as 100 tolars?
- Copiers
Three copiers will do the same in an hour, k copies. How many copies would be done in an hour by four such copiers? ...
- A family
A family of four pays for garbage collection per the year 1800 CZK. How many CZK (Czech crowns) a year does the waste company get from the house where live 93 people live?
- Salt
One ton of seawater contains 25 kg of salt. How many tons of seawater must be evaporated to obtain 2 q of salt?
- 4 pipes
The tank flows out by four pipes in 6 hours 120 hl water. How much water flows out of 5 pipes of the same diameter in 14 hours?
- Temporary 1637
Three temporary workers will clean 60 meters of the sidewalk in 5 hours. How many meters of sidewalk will clean by seven temporary workers in 8 hours?
- Expensive 1636
A pound of Idared apples costs 34 cents. How many euros does 7 kg of three times more expensive Jonagold apples cost?
- Angles ratio
In an ABC triangle, is true relationship c is less than b, and b is less than a. Internal angles of the triangle are in the ratio 5:4:9. The size of the internal angle beta is:
- Measures 1576
Katy, whose step measures 50 cm, counted 294 steps from her house to her aunt's. If his step measures 70 cm, how many steps will Katy's father take to his aunt?
- Rabbits
Michael is breeding rabbits. His seven rabbits will eat 98 feed rations for seven days. How many should five rabbits eat equal portions of feed in 6 days?
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