System of equations + functions - practice problems - page 37 of 38
Number of problems found: 745
- College
At the college are at 45 rooms, 158 students. Some rooms are triple and some quad. How many triple and quadruple rooms there is if it is all fully occupied? - Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Motion
If you go at speed 5.5 km/h, you come to the station 33 minutes after leaving the train. If you bike to the station at speed 29 km/h, you come to the station 52 minutes before its departure. How far is the train station? - Motion
Cyclist started at 9:00 from point S to point T. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from T to S, started at 9:35. After 71 minutes, he met the first cyclist, and after the next 8 minutes, the second
- Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 99 cows graze meadow for 14 days and 95 cows by 22 days. How many cows graze the meadow for 77 days? - Motion2
The cyclist started off town at 19 km/h. The car started after 0.7 hours behind him in the same direction. It caught up with him for 23 minutes. How fast and how long went the car from the city to catch cyclists? - Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Tippler
Bottle with cork cost 8.8 Eur. The bottle is 0.8 euros more expensive than cork. How much are a bottle and the cork?
- Function
For linear function f(x) = ax + b is f(10)=192; f(16)=170. Calculate m, if f(m) = 2008. - Pumps
The tank is filled with two pumps in 16 minutes. The first pump is filled in 30 minutes earlier than the second one. How many minutes is filled with the first pump? - Euler problem
Someone buys 300 tolars towels. If it were for the same money of 5 more towels, it would be 5 tolars cheaper each. How many were towels? - Right triangle
The legs of the right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Barrel of oil
The barrel of oil weighs 283 kg. When it molded 26% oil, it weighed 216 kg. What is the mass of the empty barrel?
- Golden ratio
Divide the line of length 14 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Father and son
Father and son are 74 years old together. Son is 30 years younger than father. How old is the son? - Rectangle - sides ratio
Calculate the area of a rectangle whose sides are in ratio 9:14 and perimeter is 388. - Barrel with liquid
Barrel with grain weight 297 kg. When it sheds 48% of grain, ha weight 174 kg, what is the weight of an empty barrel? - Triangle angles
The angles α, β, γ in triangle ABC are in the ratio 6:2:6. Calculate the size of angles.
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