System of equations - math word problems - page 80 of 103
Number of problems found: 2050
- 3 masons
Three masons received 7,700 CZK. The second half received 1/2 more than the first, and the third twice more than the second mason. How much do they each have crowns?
- Factory and divisions
The factory consists of three auxiliary divisions and a total of 2,406 employees. The second division has 76 employees less than the 1st division, and the 3rd division has 212 employees more than the 2nd. How many employees have each division?
- Remuneration
Total remuneration for workers is 47,000 CZK. The second worker received 20% more than the first and the third 4000 CZK less than the second employee. How many CZK does each receive?
- Boys and money
270 USD boys divided so that Peter got three times more than Paul, and Ivan had 120 USD more than Paul. How much was each received?
- Boxes
Two hundred boxes have been straightened in three rows. The first row was 13 more than in the second, and the second was one-fifth more than in the third. How many boxes are in each row?
- Water wessel
The vessel containing water weighs 19 kg. After pouring half the water, it weighed 11 kg. What is the weight of the empty vessel?
- PC disks
Peter has 45 disks in three colors. One-fifth of the disks are blue; red is twice more than white. How many blue, red, and white disks are there?
- Sweets
We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How many of these two candy types are necessary to prepare this mixture?
- Sum of three numbers
The sum of three numbers from which the second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine these numbers.
- Copper parts
The metallurgic company made three parts from the copper cast. The first consumed one-third of the casting, the second 2/3 of the rest, and the third weighed 18 kg. What is the weight of the original copper cast?
- ATC camp
The owner of the campsite offers 79 places in 22 cabins. How many of them are triple and quadruple?
- Tour
Thirty-five people went on a tour and paid 8530. Employees pay 165, and family members pay 310. How many employees and how many family members went on the tour?
- Schools
Six hundred seventy-eight pupils attend three schools. The first had 21 students, and the third had 108 fewer students than the second school. How many students attend the schools?
- Summerjob
Three students participated in the summer job. Together, they earned 1780, -. Peter got a third less than John, and Paul got 100 more than Peter. How much did each one of them cost?
- Sides of triangle
Triangle has a circumference of 42 cm. Side a is two times shorter than side b, and side c is 2 cm longer than side a. Find the sizes 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?
- Daughter 3610
A mother is six times older than her daughter. The mother will be twice as old as the daughter in twenty years. How old is the mother, and how many are the daughter?
- Creatures 3607
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?
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