Equations practice problems - page 223 of 239
Number of problems found: 4767
- Chicken
I threw three chickens for a handful of grains, and I noticed that they ate in a ratio of 8:7:6, and two of them grabbed 156 grains. How many grains have fought that chicken?
- Sprayers
The vineyard can be sprayed first sprayer in 4 hours and with the second in 6 hours. How long would it take if we used sprayers both at once?
- Tourists
The first group of tourists started from the cottage at 7:00 AM at a speed of 4 km/h. The second started after them 21 minutes later at a 6 km/h. How long and how many kilometers from the cottage will catch the first group?
- Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
- Classroom
In a class are 44 pupils. Boys are 8 less than girls. How many boys and girls are in the classroom?
- Painters
The first team of painters would paint the bridge in 15 days, the second in 10 days. After three days of working together, the second team goes out and continues only with the first team. How many days took the second team to finish painting the bridge?
- Target
Peter, Martin, and Jirka were a fire in a particular target, with only three fields with values of 12, 18, and 30 points. All boys were firing with the same number of arrows, and all the arrows hit the target, and the results of every two boys differed by
- Trousers
Jarek bought new trousers, but the trousers were too long. Their length was in the ratio of 5:8 to Jarek's height. The mother cut his trousers by 4 cm. Thus, the original ratio decreased by 4%. Determine Jarek's high.
- Sphere and cone
Within the sphere of radius G = 33 cm, inscribe the cone with the largest volume. What is that volume, and what are the dimensions of the cone?
- Translations
Suppose I am going to translate the book six pages per day. Suppose I translate it four days earlier than if I translated five pages a day. If I translate four pages a day, I translate it for how many days.....?
- Sinus
Determine the smallest integer p for which the equation 4 sin x = p has no solution.
- Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points.
- Line
Straight-line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line in which both coordinates are positive integers.
- Two diggers
There are two diggers. One digger digs a pit 77 hours per second, digging 1.2 times faster. a) how long did digging a pit with a second digger take? b) how long did it take to dig together?
- Apples
Hanka has 5 apples more than Juro and 7 apples less than Mirka. Mirka has 19 apples. How many apples have Hanka, and how many Juro?
- Jan and Dan
Jan and Dan had the same money. Jan bought five workbooks and left him 20 CZK. Dan 6 and left him nothing. How much money do they have in total?
- Mother and daughter 2
The mother is 25 years older than her daughter. How old is the mother if her age is eight-thirds age of the daughter?
- Mother and daughter
Three years ago, the mother was three times older than the daughter. After nine years, she will be only twice as old. How old is the mother (and daughter)?
- Two workers
Two workers will do certain work for 12 days. After eight days of working, one was removed, and the other finished the job alone in 10 days. For how many days would you do this work alone for each worker?
- Honza + Alice + Tonda
Honza + Alice + Tonda have a total of 111 USD. The ratio between Honza and Alena is 5:6, and the ratio between Alice and Tonda is 4:5 How much money does each of them have?
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