System of equations - math word problems - page 61 of 107
Number of problems found: 2130
- Ski Course Room Distribution
Fifty-nine pupils from the seventh grade of the primary school will go to the ski training course. They will live in three-bed and four-bed rooms at the mountain hut. The capacity of the hut will be filled entirely. The cottage has a total of 17 rooms rea - Four Consecutive Even Numbers
Jaroslav and his grandfather often played mathematical games. His grandfather gave him the following puzzle: The sum of four consecutive even numbers is 116. What are they? - Cyril Dalibor age
Cyril was four times less than Dalibor 3 years ago. How many years will Cyril be 2x less if he is 3x younger now? - Linear system
Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2 - Two diggers
Two diggers should dig a ditch. If each of them worked one-third of the time the other digger needed, they'd dig up a 13/18 ditch together. Find the ratio of the performance of these two diggers. - Lena Monica Age Difference
Lena is seven years older than Monica. If both Lena and Monica were four years younger, she would be twice as old as Monica. How old is Lena? - Rowboat River Current Speed
A rowboat sailing down a river covers a distance of 120 m downstream in 12 s and upstream in 24 s. Find the magnitude of the ship's velocity relative to the water and the current in the river. Both speeds are constant. - Tickets 4
Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's and brings in a total of $342. How many of each kind of ticket did she sell? - Three brothers
The three brothers have a total of 42 years. Jan is five years younger than Peter, and Peter is two years younger than Michael. How many years has each of them? - Supplementary angles
One of the supplementary angles is larger by 33° than the second one. Calculate the angles sizes. - AP of two numbers
The arithmetic mean of two numbers is 142, one of the numbers is 16 more than the second. Find both numbers. The arithmetic mean is (a+b)/2 - Two resistors
Two resistors when they give 25 ohms in series and 4 ohms in parallel, what are the values of - Three Hotels Tourists Count Tourists are accommodated in three hotels. There are eight more tourists in the second hotel than in the first. In the third hotel, there are 14 more than in the second. How many tourists stayed in each hotel if there were 258 in total?
- Team player distribution
There are 103 players. Team A has three players less than B, team C has two more than D, and team D has the same number as B. How many players does each team have? - Barrel with water
The water barrel weighs 52 kg. When we pour a quarter of the water, the barrel’s weight is reduced to 40 kg. Determine the weight of the empty barrel. - Triangle Side Lengths Ratio
Triangle with o = 16.8 cm and aspect ratio a:c = 1:2 and b:c = 5:6. Calculate side lengths a =? B =? c =? - Equations - simple
Solve the system of linear equations: x-2y=6 3x+2y=4 - Integer
Find the integer whose distance on the numerical axis from number 1 is two times smaller than the distance from number 6. - Number summand division
Divide the number 111 into three summands so that each is two larger than the previous one. - Flowers 2
Cha cruz has a garden. The ratio of roses to tulips is 2:5, and the ratio of roses to orchids is 7:6. Cha Cruz wonders what the ratio of tulips to orchids is. If Cha Cruz has 183 plants, how many of each kind are there?
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