System of equations - math word problems - page 49 of 107
Number of problems found: 2125
- Grandmother 9451
Petr and Honza received 315 CZK from their grandmother. Petr Dostál a third more than Honza. How many crowns did each of them have?
- Matemakak 9432
The cookbook by Matěj Matemakak says: The greatest common divisor of flour weight and sugar weight is 15, the greatest common divisor of sugar weight and lemon peel weight is 6, the product of sugar weight and lemon peel weight is 1800, and the smallest c
- Rectangular 9241
Calculate the area of a rectangular garden if it consumed 266 ordinary meters of mesh on its fencing and if we know that the difference between the lengths of two adjacent sides of the garden is 15 m.
- Circumference 9211
The rectangle has a circumference of 30 cm, and its width is 3 cm shorter than its length. What is its area?
- Age question
Jano is three times older than Zdeno. Zdeno is 12 years younger than Janko. How old is Jano, and how old is Zdeno?
- Two friends
Two friends on a bicycle rode against each other from two places 49 km apart. The first set off at 8.00 at a speed of 20km/h, the second 12 minutes later at a speed of 25km/h. What time do they meet? How many km will each of them travel since then?
- Achilles and the turtle
It is known that Achilles will not catch up with the turtle. But his brother Auchalles can do it. He even gave the turtle an 8-hour lead. Calculate how far from the start Auchalles will meet a turtle moving at an average speed of 70 m/h if Auchalles walks
- The hiker
The hiker will travel 40% of the route on the first day and 1/3 of the rest on the second day. Last day 30 km. What was the length of the 3-day trip? How many kilometers did he walk each day?
- The business
The business earned CZK 98,400 in the shop in three weeks. Sales were 20% higher in the second week than in the first week. The third week was 10% lower than the second week. How much did the business earn each week?
- Birthdays 9011
Three sisters have birthdays today, and their ages are in the ratio of 2:3:4. In two years, their ages will be in the ratio of 5:7:9. Find what their ages will be in four years.
- Touch x-axis
Find the equations of circles that pass through points A (-2; 4) and B (0; 2) and touch the x-axis.
- Time passing
Six years ago, Marcela's mother was two times older than her and two times younger than her father. When Marcela is 36, she will be twice as young as her father. How old are Marcela, her father, and her mother now?
- Forty-eight 8861
Forty-eight pupils go to school; there are ten boys more than girls. How many girls go to school?
- The second
The second angle of a triangle is the same size as the first angle. The third angle is 12 degrees larger than the first angle. How large are the angles?
- Distance 8591
The distance between A and B is 132 km. At 9:00, a cyclist set off from A at 24 km/h. At 10:00, a cyclist set off from B at a speed of 30 km/h. How long and for how long will they meet (from A)?
- Long bridge
Roman walked on the bridge. When he heard the whistle, he turned and saw Kamil running at the beginning of the bridge. They would meet in the middle of the bridge if he went to him. Roman rushed and did not want to waste time returning 150m. He continued
- GP - three members
The second and third of a geometric progression are 24 and 12(c+1), respectively, given that the sum of the first three terms of progression is 76. determine the value of c.
- Two math problems
1) The sum of twice a number and -6 is nine more than the opposite of that number. Find the number. 2) A collection of 27 coins, all nickels, and dimes worth $2.10. How many of each coin are there? The dime, in United States usage, is a ten-cent coin. In
- Gasoline-oil ratio
The manufacturer of a scooter engine recommends a gasoline-oil fuel mixture ratio of 15 to 1. We can buy pure gasoline and a gasoline-oil mixture containing 75% gasoline in a particular garage. How much gasoline and gasoline-oil mix do we need to make 8.0
- Eq2 2
Solve the following equation with quadratic members and rational function: (x²+1)/(x-4) + (x²-1)/(x+3) = 23
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