System of equations - math word problems - page 81 of 103
Number of problems found: 2041
- Parabola 3
Find the equation of a parabola with its focus at (0,2) and its vertex at the origin. f: y=x²+bx+c
- Tournament 3524
Four hockey teams scored 337 goals in the tournament. The second team scored 16 goals less than the first, the third 17 less than the second, and the fourth 30 goals less than the second. How many goals did each team score?
- Afternoon 3523
There were 120 vehicles in the parking lot during the afternoon. CZK 20 for a car and CZK 50 for a bus. The security guard collected a total of 2,640 CZK for parking. How many cars and how many buses were parked in the parking lot
- Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles.
- Performance 3510
They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold?
- Welcomed 3453
The product of two numbers is equal to their sum. One of the numbers is four times larger than the other. Find these numbers. They welcomed that none of them were equal to zero.
- The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy?
- Rectangle from string
String 12m. Make a rectangle when one side is two times longer than its width.
- Determine 3412
The average age of the siblings Standy, Radek, and Patricia are ten years. Standa is twice as old as Radek, and Patricia is two years younger than Radek. Determine the age of each sibling.
- Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI
- Three-quarters 3384
The sum of the two numbers is 75. Find these numbers. Three-quarters of the first are one-seventh of the second.
- Determine 3374
Pavol, Edita and Juraj have a total of 1243 euros. Pavol has 200 euros more than Edita, Juraj has 457 euros less than Edita. Determine how much each has.
- Determine 3372
The son and mother are 32 years old together. My mother is 28 years older. Find how old they are.
- Audience 3369
In the hockey audience between Sweden and Finland, there are 126 men, 65 boys, 46 children from Sweden, 50 children from Finland, and 200 Swedes, of which half are men and 39 women from Finland. How many people are in the audience?
- Potatoes bags
I have three bags with 21 kg of potatoes. The first bag has 5.5 kg more potatoes than the second bag, and the third has 0.5 kg more potatoes than the second bag. Determine the weight of each bag.
- Sawmill factory
Peter works in the factory. The bus stop is 10 km from the factory. Therefore, when the bus arrives for Peter, the driver always leaves the factory and takes him to work. They arrived at the saw exactly at 8:00. Today, the bus arrived 11 minutes earlier,
- Calculate 3339
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence).
- Football 3338
In two days, they sold 12,600 tickets for the football match. They sold 80% of what they did the next day on the first day. How many tickets were sold on the first day, and how many on the second day?
- Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution?
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