System of equations - practice for 14 year olds - page 15 of 61
Number of problems found: 1213
- Pucks
The coach went to buy balls and pucks for his charges. He paid CZK 1,464 for 21 balls and 30 pucks. But then he found out that this amount would not be enough for him, so the next day he bought nine balls and ten pucks for 536 CZK. How much did one ball c - Received 47171
Four boys shared 100 marbles. The second received 20% more than the first, the third received 20 more bullets than the first, and the fourth received 0.8 times more bullets than the first. How many marbles did each boy get? - Animal heads and feet
When hunting hares and pheasants, hunters calculated that the animals caught had 36 heads and 100 feet. How many hares and how many pheasants do they catch? - Candies 46863
Pěťák has three times more candies than his friend Maťko. When Petek's brother Ferko took four candies from both, Petko had five times more than Maťko. How many candies does Petko have now?
- 3 shirts
Three shirts for $35 Two hats and a shirt for $20 Which system of equations can be used to find s, the cost of one, and h, the cost of one hat? - Fifty-four 46551
Three hundred fifty-four cars arrived at the parking lot in the morning. The passenger was 5X more than the vans. How many cars and vans came to the parking lot in the morning? - Kilometers 46161
Tourists missed 15% of the entire route on the first day and a fifth of the rest on the second day. They still had 34km to go. How many kilometers did they travel the next day? - Sister 45831
Eva has a sister who is four years older. Ten years ago, she was twice as old as Eva. How old is Eva now? - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number.
- Czech coins
John has 540 CZK, but he only has 10 CZK coins and 20 CZK coins. We know that he has 10CZK coins, 7-times more than 20CZK coins. How many 10CZK coins and how many 20CZK coins did he save? - A number 4
A number is made up of two digits. The sum of the digits is 11. if the digits are interchanged, the original number increases by 9. Find the original number - Different 44621
Express the number 68 as this property's sum of two different summands. If you divide a larger sum by a smaller sum, will you receive a result of 3? - Grams 44441
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - An engineer
An engineer and five technicians on an oil rig earn $14208 per month, while three engineers and nine technicians earn $28800 per month. Find how much an engineer earns and how much a technician earns per month.
- THE FARM
Hens, goats, and three cows grow on the farm. All animals have a total of 19 heads and 56 legs. How many goats live on the farm, and how many hens live on the farm? - The painter
The painter lived to be 82 years old. In the 20th century, he lived 32 years longer than in the 19th century. In what year was he born? - Heads and legs
There are 108 legs and 33 heads in the yard. How many chickens? How many rabbits are there? - Photos
Three friends, Mirka, Lucka, and Hanka, collect photos. If Mirka had three more photos, she would have as many as Hanka. If Lucka had five photos less than she has, she would be like Hanka. How many photographs does each have if they have 431 together? - Circumference 43531
A triangle with a circumference of 69 cm has one side three times shorter than the longest of them and the other 3 cm shorter than the longest of them. Find the area of the triangle.
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