System of equations - practice problems - page 8 of 107
Number of problems found: 2125
- Matej 2
Matej, Marko, Milan, and Matúš had a total of 205 football player cards with signatures. Marko has four times more than Matej. Matúš had two times less than Marko. Milan had 20 cards less than Matúš. How many cards did each have? - In the domestic
In the domestic express train, there are 1st and 2nd class carriages. There are 2x more 2nd class carriages than 1st class. There are 10 compartments in each carriage. In 1st class, each compartment has 6 seats, and in 2nd class carriages, there are eight - To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors to the cinema during these three days. How many were there each day? - Gardener 5
The gardener bought 17 apple trees and 11 pears. He paid a total of €111.65. How many euros did 1 pear cost, if we know that its price was 35 cents higher than the price of 1 apple tree? How much would the gardener pay for 28 apple trees and 15 pears? - Anna had 2
Anna had 2x more than Betka. Cilka had 12 euros more than Anna. Together, they had 92 euros. How much did each have? - Double the number of apples Adam and Bonifác were picking apples. Together they picked 77 kg of apples. How much did each of them collect when Adam collected 5 kg more than twice what Bonifác collected?
- On the board
A problem for dividing two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is increa
- Three numbers The product of three natural numbers is 600. If we reduced one factor by 10, the product would decrease by 400. If we increased one factor by 5 instead, the product would increase to twice the original value. Which three numbers have this property?
- Preparing the mixture
The seller prepared 25 kg of the mixture for 264 CZK per 1 kg. The first type was 180 CZK per 1 kg and the second was 390 CZK per kg. How much of each did he need? - Received 84200
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would read the book two days earlier. How many pages does the book have? - Kilometers 84199
Three friends, Jana, Janett, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometers as Žaneta. Adriana ran 3 kilometers more than Žaneta. How many kilometers did Adriana run if the friends ran 11 kilometers together - Parking 84175
There are 96 cars in the parking lot. There are 24 fewer dark cars than light cars. How many light cars are there in the parking lot? - A year ago
A year ago, Jano was twice as old as Lenka. In five years, Jano will be half as old as Lenka. How old is Lenka? - Two workshops Two workshops were supposed to produce 4000 sets of kitchen utensils together. After completing this task, it was found that the first workshop produced 534 sets more than was originally set for it, while the second workshop fulfilled its task by 80%. How
- Four-digit number
Juraj is thinking of a four-digit number that he told us about: (a) Its digit sum is one hundredth of the number that I get by rounding the imaginary number to hundreds. (b) Its last digit is 1 more than the second-to-last. (c) The sum of its last two dig
- MO Z7 2025
Adela and Susan ate plums. On the first day, Adela ate three quarters of what Susan ate that day. On the second day, Susan ate three halves of what Adela ate that day. Together, they ate 31 plums over the two days, and each girl ate the entire number of p - Peter 27
Peter earned twice as much as Jano on his part-time job. Jano earned 50 euros less than Peter. How much did each of them earn? - Oranges and apples
Mr. Novák bought 5 times more oranges than apples. One orange cost 8 CZK and one apple costs 12 CZK. He paid 156 CZK in total. How many oranges and apples did he buy? - Angles alpha 2
Angles alpha and beta are adjacent. Calculate their sizes if the angle alpha is 50 degrees less than the angle beta. - Swimming pool 5
There are 5500 men, women, and children at the swimming pool. There are twice as many women as men and four times as many children as women. How many men, women, and children are there at the swimming pool?
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