Equations practice problems - page 220 of 236
Number of problems found: 4708
- Chalet
The children were on a school trip to the mountain. One-third of the journey went by train and continued by bus. When you get off the bus, they remain a third of the distance they traveled by bus. What part of the journey do children go by bus (write as a
- Three dice
When you throw three dice was, the sum total of the dice 10. The yellow dice fell one eye more than on the red, and brown fell three eyes less than red. How many eyes fell on every dice?
- Enterprise and wages
The enterprise operates a total 162 workers, and their average salary is M dollars. If the company has hired an additional 18 employee whose average wage would be the S dollars, it will reduce the overall average salary by 3.6%. Calculate the value of the
- Family and age ratios
The age of father and son is in the ratio 10:3; the age of father and daughter is in the ratio 5:2. How old are father and son if the daughter is 20? In what ratio is the age of sister and brother?
- Crown
Siblings collect 2-crowns and 5-crowns. Together, have 80 coins with a total value of 310 crowns. How many saved two crowns, and how many five crowns?
- Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team?
- Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B at an unknown speed and for an unknown period. Back to point A, it went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey?
- Jan
Jan is 13 years old, and Peter is 21 years old. How many years will their age be in the ratio of 7:9?
- 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 2 hours and with the second in 4 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.
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