Equation + system of equations - practice problems - page 21 of 64
Number of problems found: 1270
- Distance 27971
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman beside him wants to buy a newspaper but is missing five cents. Tereza is in a generous mood after the win, so she gives the man five cents - Traveling 27833
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Intersections 3
Find the intersections of the circles x² + y² + 6 x - 10 y + 9 = 0 and x² + y² + 18 x + 4 y + 21 = 0
- Calculate 27351
There were goats and chickens in the yard. The number of all heads was 15. The number of all legs was 40. Calculate how many hens there were. Every animal has all its legs. - Lookout tower
How high is the lookout tower? If each step was 3 cm lower, 60 more were on the lookout tower. If it were 3 cm higher again, it would be 40 less than it is now. - A bottle
A bottle full of cola weighs 1,320 g. If we drink three-tenths of it, it will weigh 1,008g. How much does an empty bottle weigh? - Students 26111
There were 24 pupils from the whole class on the school trip. Out of 4/7 of all girls, ¼ did not go. Since all the boys went, there were an equal number of boys and girls on the trip. How many students are there in the class? How many boys are there? - Passengers 26071
Forty-eight people took part in the winning trip to Paris. There were 4 more family members than people who won the trip. People who did not win the trip but bought the trip from one of the winners were 6 less than half of the passengers on the bus. How m
- Summands
We want to split the number 110 into three summands so that the first and the second summand are in ratio 4:5, and the third with the first are in ratio 7:3. Calculate the smallest summands. - Columns of two and three
When students in one class stand in columns of two, there is none left. When he stands in columns of three, there is one student left. There are five more double columns than three columns. How many students are in the class? - Determine 25341
In a two-digit number, the number of tens is three more than the number of ones. If we multiply the original number by a number written with the same digits but in the reverse order, we get the product 3 478. Determine the actual number. - In the dairy
There were three times more milk packages in the dairy than half a liter. Four times more liters remained when sold in 10 liters and ten half-liter containers than in half-liter packages. How many packages were there originally? - The rectangle
The rectangle has a circumference of 32 m. One side is 2 m longer than the other side. Calculate the side lengths of this rectangle.
- The circumference
The circumference and width of the rectangle are in a ratio of 5:1. Its area is 216cm². What is its length? - Magnitudes 24271
In the ABC triangle, the magnitude of the inner angle beta is one-third the magnitude of the angle alpha and 20 ° larger than the magnitude of the gamma angle. Determine the magnitudes of the interior angles of this triangle. - Sooner 24191
If I read a book at a rate of 15 pages a day, I will read it three days sooner than if I read it at a rate of 10 pages a day. If I read at a rate of 6 pages daily, I'll read a book. - Caramels 24131
Anička and Jana shared 21 caramels, while Jana had 40% of what Anička received. How many caramels did she get? - Side lengths
In the triangle ABC, the height to side a is 6cm. The height to side b is equal to 9 cm. Side "a" is 4 cm longer than side "b". Calculate the side lengths a, b.
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