System of equations - math word problems - page 64 of 107
Number of problems found: 2130
- Car driver
The car driver is in town A and is scheduled to be in town B at a specified hour. If it travels at an average speed of 50km/h, it will arrive in city B 30 minutes later. But if he travels at an average speed of 70km/h, he would arrive half an hour earlier - Bottles
The must is sold in 5-liter and 2-liter bottles. Mr. Kucera bought a total of 216 liters in 60 bottles. How many liters did Mr. Kucera buy in five-liter bottles? - Area of garden
If the width of the rectangular garden is decreased by 2 meters and its length is increased by 5 meters, the area of the rectangle will be 0.2 ares larger. If the garden's width and length will increase by 3 meters, its original size will increase by 0.9 - Number product increase
The product of the two numbers is 504. When one of them increases by six, the product increases to 720. It determines both factors. - From Pardubice
Mrs. Černá left Pardubice and rode to Rychnov nad Kněžnou at an average speed of 60 km/h. At the same time, Dáša rode her bicycle from Rychnov nad Kněžnou and rode to Pardubice at an average speed of 25 km/h. The place on the road where they passed was 10 - Two Numbers Ratio Change
Two numbers are in the ratio 5:6. If one number is smaller by seven and the other is larger by seven, there will be new numbers in the ratio 4:7. What is the original, and what are the changed numbers? - Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - School lunch pupils
A third of the 1st-grade pupils eat lunch and a snack in school, a quarter only have a snack in school and a sixth only have lunch in school. The remainder, 15 pupils, do not go to primary school. How many pupils are there in the 1st grade? And how many a - Four numbers
The first number is 50% second. The second number is 40% third. The third number is 20% of the fourth. The sum is 396. What are the numbers? - Buns and toasts
Two buns weigh 10 grams more than two toasts. One Bun and two Toast weigh a total of 110 grams. How many grams weigh three toasts? How many grams does a Bun weigh? - Triplets
Three years ago, the triplets Pavel, Petr, Luke, and their five-year-old sister Jane had been together for 25 years. How old is Jane today? - Speed of car
The car went to a city that was 240 km away. If his speed increased by 8 km/h, it would reach the finish one hour earlier. Determine its original speed. - Meeting of Two Walkers
Tomas will leave point A at a speed of 4 km/h at 9 o'clock. Ondra will meet him from point B at a speed of 3 km/h at 9.30 am. The distance between points A and B is 5.5km. What time do they meet, and how far will they be from point B? - The tourist
The tourist came started from the hostel at an average speed of 5km/h. Half an hour later, the bicyclist started along the same route at a speed of 20km/h. How many minutes will a cyclist catch up, and how many kilometers will he go? - Ages Four Years Ago
Peter and Paul are 26 years old together. Four years ago, Peter was twice as old as Paul. How old is Peter? And how much for Paul? - Apples
Zuzana bought 3 kg Jonathan apples. Then she noticed that Golden apples were 3 CZK a kilogram cheaper. So they bought 2 kg. For apples, she paid a total of CZK 109. How much did 1 kg, Jonathan, and how much Golden? - Candy and boxes
We have some candy and empty boxes. When we put ten sweets in boxes, two candies and eight empty boxes will be left. When of eight, there will be six candies and three boxes left. How many candy and empty boxes are gone when we put nine sweets into a box? - Language choice
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - The truck
The empty truck left the warehouse for goods at 10:00 and arrived at 11:30. At 2:00 pm, they loaded back on the same route. But it was a quarter slower than going to the warehouse. We know that on the way to the warehouse, the car traveled at a speed of 1 - Class composition
There are 25 pupils in every 5th class in the class, 18% of boys and 23% of girls. How many boys are in the class, and how many girls are there?
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