Direct proportionality - math word problems - last page

Number of problems found: 732

Expansion
If one side of the rectangle is larger 2-times and the second 4-times, what percentage increases the area of the rectangle?
Function
For linear function f(x) = ax + b ‬ is f(19)=141; f(20)=168. Calculate m, if f(m) = 2018.
Potatoes
Potatoes contain 77.6% starch. How many potatoes need to obtain 71.8 kg of starch?
Pipes
The water pipe has a cross-section 1903 cm². An hour has passed 859 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 11 hours if water flows at the same speed?

Gear wheels
Two gear wheels, which fit together, have the number of teeth z₁=43 and z₂=154. Calculate the speed of the first wheel if the second wheel rotates 766 revolutions per minute.
Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters?
Fuel consumption
Kia car has an average nafty consumption of 6.4 liters per 100 kilometers. What is the car range for a full tank of volume 71 liters?
Sphere growth
How many times does a volume of the sphere rise if priemer rises 10×?
Acid
The barrel is 79 liters of 60% acid. How many percent of acids occur when 4 liters are revoked and replaced with the same amount of water?

Ratio
5 numbers are in the ratio 1:2:4:5:5. Their sum is 29172. What are the numbers?
Election mathematics
In elections, 8 political parties received this share of voters: strana A ; 56 % strana B ; 11.9 % strana C ; 11.7 % strana D ; 8.8 % strana E ; 6.3 % strana F ; 5.1 % strana G ; 0.2 % Calculate what the shares acquired in the parliament if a quorum is 5%
Engineer bug
Comical errors, disputes and plots arise when converting physical units. The core of today's dispute was the price of natural gas. The unit was changed - from the natural unit of cubic meter of gas to the unit kWh. The goal was to be able to compare the p

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