Equations practice problems - page 100 of 242
Number of problems found: 4829
- The four
The four pirates divided 65 coins into each other. They were sorted by age, the youngest receiving the least number of coins, each half more than the previous one. How many coins did the oldest pirate receive? - In a
In a triangle, the aspect ratio a: c is 3:2, and a: b is 5:4. The perimeter of the triangle is 74 cm. Calculate the lengths of the individual sides. - Digging
The first worker would dig a trench in 6 hours. For the second, the same work would take 4 hours. How long did it take for the trench to be dug if they worked together? - Seven
Seven dwarfs will cut 420 stumps in 15 hours. After five hours, the two dwarves disappear discreetly. How many hours will the remaining dwarves complete the task? - Two-day trip Katy got a pocket trip for a two-day trip. She spent 3/5 on the first day and half the rest on the second. She brought home € 8. How many euros did Katy receive as pocket money?
- Tile rectangle assembly
A bricklayer has 48 tiles. How many different rectangles will he assemble? - Job applicants
Three-quarters of job applicants had prior experience in the relevant position. The number without prior experience was 36. How many people applied for the job in total? - Apple table sharing
There were apples on the table. Aleš took a quarter of apples, Bara a third of what remained. Cyril took half of the rest. Emil took the other four apples. How many apples were on the table in total? - Pupil walking distance
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - Hen hare puzzle
There were hens and hares in the yard. They had a total of 20 heads and 56 legs. How many hens and how many hares? - Farm animal count
The farm keeps cows, horses, and sheep. There are 37 cows, which is 25 more than the sheep. There are seven times fewer horses than cows and sheep combined. How many animals do they keep on the farm together? - Company employee calculation
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h - Library
We purchased new books for the library. Five-eighths were professional books, one-fifth were encyclopedias, and 231 books were dictionaries. How many professional books were there? - Double price reduction
TV price has been reduced twice, first by 15% and later by another 10% of the reduced price. After this double price reduction, Peter sold the TV for 8,874 crowns. What was the original price of the TV? - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua - Large family
The average age of all family members (children, mother, father, grandmother, grandfather) is 29 years. The average age of parents is 40 years, grandparents 66 years, and all children are five years. How many children are there in this family? - Building painting time
Ten painters painted the company building in 20 days. In how many days would six painters paint the company's building? - Equation with one variable
Solve the following equation with one unknown: 5(7s + 5) =130 - Water temperature cooling
The water in the container has a temperature of t1 = 80◦C, the temperature around the container is t2 = 15◦C. The dependence of temperature t on time τ (in minutes) can be expressed approximately by the formula: t = t2 +(t1 −t2)·e^(−0.05·τ) Calculate the - Wheel circumference
The circumference of the first wheel is 0.5 m larger than the circumference of the second wheel. The first wheel turns on the 36 m track as many times as the second on the 30 m track. Determine the rims of both wheels.
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