System of equations - math word problems - page 89 of 107
Number of problems found: 2135
- Weight ratio
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1:6:7:2. Determine what weight each of them has. - Three numbers
Find three numbers so that the second number is three times larger than the first and the third is six larger than the second number. Their sum is 62 - Consecutive numbers
The sum of four consecutive odd numbers is 240. What are the numbers? - Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased seven tickets for 1st and five for 2nd place, and she paid 62Kč. The second group bought 11 tickets for 1st and four for 2nd place and paid 82Kč. How much was the ticket for 1s - Car
The car drove some distance in 3 hours and 20 minutes. If it increases speed by 10 km/h, it goes this distance in 2.5 hours. Calculate the distance. - Glass
Trader ordered from the manufacturer 200 cut glass. The manufacturer confirmed the order that the glass in boxes sent a kit containing either four or six glasses. Total sent 41 boxes. a) How many boxes will contain only four glasses? b) How many boxes wil - Clouds
From two points, A and B, on the horizontal plane, a forehead cloud was observed above the two points under elevation angles 73°20' and 64°40'. Points A and B are separated by 2830 m. How high is the cloud? - Three piles
We divide 100 kg of sugar into three piles. The first pile is small. If we add 2 kg of sugar to the second, it would have 25% more sugar than the first pile. If we add 3 kg of sugar to the third pile, it would have 20% more sugar than the second pile. How - Angles of a triangle
In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a triangle. - Three figures - numbers
The sum of three numbers, if each is 10% larger than the previous one, is 662. Determine the figures. - Bottles
Mrs. Violet brewed 15 l of raspberry juice. She poured it into 17 bottles. Some were 3/4 liter and someone liter. How many bottles were of these two types? - System of equations
Solve a system of equations: x + 4y = -1 y = -1 - System of equations
Solve a system of equations: x + y = 4 x-3y = -6 - Is right triangle
One angle of the triangle is 36°, and the remaining two are in the ratio of 3:5. Determine whether a triangle is a rectangular triangle. - System of equations Solve a system of equations: x + y = -1 x + 5y = 3
- Ascent and descent
The car goes 114 km of track, consisting of ascent and descent at 1 hour 35 minutes. When climbing, it moves at the speed of 48 km/h and downhill at 25 m/s. What is the length of the climb and descent? - Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Rectangle area
The circumference of the rectangle is 22 cm, and one side is 3 cm shorter than the other. What is the area of this rectangle? - Three equations
Solve the following set of equations with three unknowns. 3x + 2y + 3z = 110 5x-y-4z = 0 2x-3y + z = 0 - Grandchildren ages
To the question: How old are your two grandchildren? The grandfather answers: if I add their sum to the product of the numbers that determine their age, I get 14. How many years have grandfather's grandchildren? Think only for years.
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