Equations practice problems - page 198 of 250
Number of problems found: 4996
- UN 1
If we add one quarter of an unknown number to itself, we get 210. Find the unknown number. - Sides of triangle
A triangle has a perimeter of 42 cm. Side a is half the length of side b, and side c is 2 cm longer than side a. Find the lengths of the sides of a triangle. - Cycling trip
At 8:00 AM, a group of children from a summer camp set off on a cycling day trip. After 9:00, the weather deteriorated sharply and the leader decided to send a bus along the same route to pick up the children. The bus departed at 10:00. When and at what d - Car and cyclist
The cyclist started from town at a speed of 18 km/h. After 1 hour 30 min started the car from town and caught up with the cyclist in 50 minutes. How fast was the car? - Two planes
Two planes are flying from airports A and B, 420 km apart. The plane from A took off 15 minutes later and flew at an average speed of 40 km/h higher than the plane from B. Determine the average speed of these two aircraft if you know that it will meet 30 - Four friends
Four friends shared the money. Vince got 1/4 of the total amount. Tony received 1/3 of the rest of the money, Joe got a half from the second residue, and George was left with 80. How much money did they have altogether? - Solving tasks
a/ When we cut each carrot into sixths, there will be 24 pieces more in the soup than when we cut it into quarters. How many carrots do we cut? b/ In an orchard there were 46 more apple trees than pear trees. A storm uprooted a quarter of the apple trees - Contract
Eight employees complete the contract for 65 hours. After 17 hours, three employees had to leave for another job. How many more hours will it take to complete the contract? - Pumps
Four identical pumps fill the tank in 40 hours. How many pumps would we have to use if we wanted to save 8 hours? - Potato delivery
When delivering potatoes, the driver unloaded one-half of the bags of potatoes in the first store, one-third of the remaining bags in the second store, and the last 24 bags of potatoes in the third store. How many bags did the driver initially have in the - Catching up time
Johnny left home at 8 a.m. on foot at an average speed of 4 km/h. At 11 a.m., dad followed him on a bicycle at an average speed of 40 km/h. How long and at what distance from home will dad catch up with Johnny? - Master work
The master will complete the given task in 4 hours. When they're done together, how long will it take to master students entirely in three hours? - Mother and daughter age
A mother is six times as old as her daughter. The mother will be twice as old as her daughter in twenty years. How old is the mother, and how old is the daughter? - Flour amount
On the first day, a bakery used one third of their flour. On the second day, they used 75% of the remaining flour. On the third day, 120 kg of flour remained. How much flour did they have at the beginning? - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Gingerbread sharing
Johnny and Mary ate 36 gingerbreads together. Johnny ate 14 more gingerbread. How many gingerbreads did Mary eat? How much did Johnny eat? - Playing match
Romania played a match against Canada. Canada won the duel by six goals. They scored a total of ten goals in the game. Find the number of goals scored by Romania. - Tournament goals Italy, the Netherlands, and Spain scored 67 goals in the tournament. The Netherlands scored two more goals than Italy, and Spain scored one goal less than Italy. Determine the number of goals.
- Circle radius
Calculate the circle's radius if the circumference and area are in a 2:5 ratio. - Euclid theorems
Calculate the sides of a right triangle if leg a = 6 cm and a section of the hypotenuse, which is located adjacent to the second leg b, is 5 cm.
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