System of equations - math word problems - page 108 of 110
Number of problems found: 2186
- Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color? - Warehouses
To four warehouses is going cement in 50 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 120 tons came to fourth. How much cement is in all warehouses, and how much got everyone? - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares. - Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year? - Elections
The elections attended a total of 1450 voters. First-day 48 men more than women, the second-day 16 women more than men. How many women attended elections? - Work
The first paving machine can pave a pavement in 28 hours, and the second in 26 hours. The first machine started working, and after 2 hours the second machine joined it. How long after the second machine starts will they finish the job together? - Medians
Calculate the sides of a right triangle if the length of the medians to the legs are ta = 25 cm and tb=30 cm. - College
A dormitory has 73 rooms and 254 students. Some rooms are triple occupancy and some are quadruple occupancy. How many of each type of room are there, given that all rooms are fully occupied? - Freedom
In the city are 2/4 of women married for 4/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Motion
If you go at speed 6.2 km/h, you come to the station 52 minutes after leaving the train. If you bike to the station at speed 23 km/h, you come to the station 51 minutes before its departure. How far is the train station? - Four pupils
Four pupils divided 765 euro so that the second received 50% less than the first, the third received 1/2 euro less than the fourth, and the fourth received 50 euro less than the first. How much did each of them receive? - Motion
A car and a bus set off toward each other from two locations 232 km apart. The car started at 7:10 at an average speed of 74 km/h. The bus started at 8:40 at an average speed of 48 km/h. When did they meet? How many kilometres had the bus travelled at the - Cuboid
A cuboid with edge a = 6 cm and space diagonal u = 31 cm has a volume of V = 900 cm³. Calculate the lengths of the other two edges. - Motion
Cyclist started at 9:00 from point D to point E. After 10 minute, I followed him at the same speed as the second cyclist. Walker, which went from E to D, started at 9:25. After 40 minutes, he met the first cyclist and the second cyclist after the next 8 m - Newton's task
Grass grows in the meadow equally fast and evenly. It is known that 35 cows graze meadow for 27 days and 39 cows by 24 days. How many cows graze the meadow for 6 days? - Motion2
A cyclist left town at 24 km/h. A car set off 0.5 hours later in the same direction and caught up with the cyclist in 58 minutes. How fast did the car travel, and how far from the town did it catch the cyclist? - Purchase
Three buyers paid €468 in total. The first paid 3 times as much as the second, and the third paid half as much again as the second. How many euros did each of them pay? - Gear
Two meshing gears have a gear ratio of 1:2. The distance between their centres is 96 cm. What are the radii of each gear? - Pool
Water flows into a pool through two inlets and fills it in 5 hours. If the first inlet alone takes 5 hours longer than the second inlet alone, how long does each inlet take to fill the pool on its own? - R triangle
Calculate the area of a right triangle whose longer leg is 7 dm shorter than the hypotenuse and 10 dm longer than the shorter leg.
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