System of equations - math word problems - page 61 of 107
Number of problems found: 2125
- Younger 7012
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? - Downstream 7002
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. - Arithmetic 6963
The arithmetic mean of two numbers is 142. One of the numbers is 16, greater than the second. Find out 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
- Accommodated 6906
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? - Players 6897
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. - Calculate 6885
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. - Summands 6879
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?
- Boys to girls
The ratio of boys to girls at a party is 3:5. If six more boys arrived and four girls left the party, the ratio of boys to girls would be 5:6. How many people were at the party initially? - New ratio
The ratio of ducks and chickens in our yard is 2:3, for a total of 30 ducks and chickens. The mother gave 3 of the chickens to our neighbor. What is the new ratio now? - Inverse matrix
Find out the inverse using Gauss elimination or the reduction method. A=[2/3. 1 -3. 1/3] - Stamps 2
Dennis spent 34.15 on stamps. The number of 0.56 is ten less than four times of stamps bought for 0.41. How many of each stamp did he buy? - Sphere from tree points
Equation of sphere with three-point (a,0,0), (0, a,0), (0,0, a) and center lies on plane x+y+z=a
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