Equations practice problems - page 161 of 239
Number of problems found: 4780
- Perpendicular sides
In a right triangle, one perpendicular is 1 m shorter than the hypotenuse. The other perpendicular is 2 m shorter than the hypotenuse. Find the lengths of all sides of the triangle. - Soccer ball
How much does a soccer ball cost, and 6/7 of the price is € 12? - Unknown variable
Find the number x, which, if it increases by 2, then its square increases by 21 percent. - Ratio-cuboid
The lengths of the edges of the cuboid are in the ratio 2:3:6. Its body diagonal is 14 cm long. Calculate the volume and surface area of the cuboid. - Equation: 5482
Solve the equation: 0.5 • (3+ x) -0.2 • (0.5x-5) = 0 - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - Available 5472
Alena and Marta want to go on vacation together. Alena lacks CZK 300 to buy the selected ticket, and Marta has 4 times that amount left over. We know that Marta has 50% more CZK available than Alena. How much does a ticket cost? - Wagons and cranes
The same cranes are unloading 96 wagons. There would be fewer wagons for each crane if there were two more cranes. How many cranes were there? - Competitors
In the first round of the slalom, 15% of all competitors dropped out, and in the second round, another 10 competitors dropped out. In total, 40% of all competitors dropped out. What was the total number of competitors? - Tournament 5463
A reward of 1200 CZK is prepared for the 4 best champions in the chess tournament. It will be divided so that the second gets half of the first, the third half of the second's reward, and the fourth half of the third. How many CZK will each person receive - Specify 5462
P (x) = 15x- (5x + 10,000) specify x so that P (x) = 0 - Tracksuit 5460
The tracksuit became cheaper by 15% later on sale and later by 10%. How many euros did Janka save if she bought this set after the second discount and paid € 45.9? - Improvements 5459
After technical improvements, the washing machine cost € 630, which is a fifth more than the original price. How many euros did the washing machine initially cost? - Two-digit 5457
From how many digits can we create twenty-two-digit numbers in which the digits do not repeat? - Mother and daughter
The mother is four times older than her daughter. Five years ago, her daughter was seven times younger than her mother. How many years do they have now? - Family 8 The father is 38 years old, the daughter is 12, and the son is 14. How many years will a father have as many years as his children together?
- Ninth-grade 5446
When the ninth-grade boys and girls said goodbye at the end of the school year, they each gave each other their photos. It was a total of 552 images. How many farewells were there? - Passengers 5441
There are 36 passengers on the bus. There are seven women more than men and 22 children less than adults. How many men, women, and children are on the bus? - One-quarter 5440
They delivered goods to four stores. First, they collected one-third of the shipment, second only two-thirds of what happened in the first. In the third, one-quarter of the rest, and the fourth, the remaining 240 kg. How much did they make at each store? - Candies - coloured
There were red and green candies in the tin. Čenek ate 2/5 of all the red candies, and Zuzka ate 3/5 of all the green candies. Now, the red candies make up 3/8 of all the candies in the can. How many candies were originally in the can?
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