Equations practice problems - page 43 of 242
Number of problems found: 4827
- Operation asterisk pairs
The * (asterisk) operation assigning one number to two pairs of numbers is introduced as follows: (a, b)*(c, d) = ac+bd We know that: (x,2)*(-1, v) = -1 and (2,-1)*(u, v)=5 and (u, v)*(1,1)=-2 What is (1,2)*(x, y) equal to if y=3? - Butter chocolate price
I paid 36 crowns for butter and chocolate. Butter was CZK 6 more expensive than chocolate. How much did the chocolate cost? - Painter house help
Four painters painted the house in 14 days. How long will it take if 2 more come to help after 5 days? - Rectangle dimension increase
The area of the rectangle is 81.25 cm². If we increase its length by 5 mm, its area increases by 4%. Determine its dimensions. - Number percentage more
The number 420 is 20% more than the unknown number. What is the unknown number? - Number ratio sum The ratio of the two numbers is 1:3. Half of the larger one is 135. What is the sum of the two numbers?
- Circle and chord
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Part-time earnings soccer
I had 350 euros left over from the money I earned from the part-time job. I bought soccer cleats with half of the money I earned and a soccer ball with the other half. How much did I earn from the part-time job? - Three-digit - sum A three-digit number has a digit sum of 16. If we change the digits in the hundreds and tens places in this number, the number is reduced by 360. If we swap the ten's and one's digits in the original number, the number increases by 54. Find this three-dig
- Banknote payment euros
Participants paid out 3,300 euros in 40 banknotes. Some were 50e, and others were 100e. How many were there? - Cleaner injury hours
Four cleaners will clean the hotel in 15 hours. How long will they clean if, after 8 hours, one gets injured and leaves? - Younger Carlos
In 2005, Peter was three times as old as Carlos. In 2020, Carlos was half his age younger than Peter. In which year was Peter born and in which Carlos? - Painter fence work
Two painters are painting the factory fence together. If everyone worked alone, the first would finish the job in 16 days, the second in 20 days. When will they finish the work together? - Apricot peach purchase
We paid a total of 85 crowns for the purchase of 2.5 kg of apricots and 1.5 kg of peaches. A kilogram of peaches is CZK 2 cheaper than a kilogram of apricots. How much CZK was paid for the apricots? - Tie price calculation
CZK 895 was paid for three ties. A blue tie was 18% more expensive than a gray one, and a brown one was CZK 100 more expensive than a gray one. Calculate the prices of individual ties. - Pyramid edge calculation
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Fish mushroom respondents
Out of 32 people, 22 like fish. Four fewer people will enjoy the mushrooms. Those who eat mushrooms or fish are 7 times more than those who do not eat mushrooms or fish. How many of the respondents have fish and mushrooms? - Pavla Irena age Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks
- Everyone age average There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
- Cyclist peloton speed
The front of the cycling peloton travels at an average speed of 48 km/h. The cyclist with the green T-shirt lost 5 minutes when he fell. What speed must he drive if he wants to reach the front of the peloton in twenty minutes? Possible?
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