System of equations - math word problems - page 87 of 110
Number of problems found: 2182
- 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. - 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 - Reward
Three workers shared a common reward of 13110 CZK: the first worker got 35% less than the second, and the third worker got 20% more than the second worker. How much does each worker earn? - 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 - 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? - Beetles and spiders
The collector of beetles and spiders had ten creatures in a box. There were a total of 72 legs in the box. How many beetles and how many spiders? - 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? - Goals scored
Jarda scored 18 goals more than Karel. They scored a total of 86 goals. How many goals did Jarda achieve, and how many did Karel score? - Mushrooms
Eve and Jane collected 114 mushrooms together. Eve found twice as many as Jane. How many mushrooms did each of them find? - 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? - Money distribution
Adam, Boris, and Cyril have 21 CZK in total. Adam and Boris together have 11 CZK, and Boris and Cyril together have 13 CZK. How much does each of them have? - 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.
- SMS time
Smith and Wyatt are leaving from a joint vacation. They agreed that when they were 100 km apart, they would text each other. Smith drives at 60 km/h and Wyatt at 90 km/h. They left at 2:00 PM (14:00). What time do they text each other? - Two trains
Two trains are running the same distance. 1st train will travel in 7 hours 21 minutes. 2nd, the train will travel 5 hours, 57 minutes, and 34 seconds, and it is 14 km/h faster than the first train. What are the speeds of trains, and how long is this railw - Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c - Hockey goals
Four hockey teams scored 337 goals in the tournament. The second team scored 16 goals less than the first, the third 17 less than the second, and the fourth 30 goals less than the second. How many goals did each team score? - Parking vehicles
There were 120 vehicles in the parking lot during the afternoon. CZK 20 for a car and CZK 50 for a bus. The security guard collected a total of 2,640 CZK for parking. How many cars and how many buses were parked in the parking lot - Triangle angles
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles.
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