System of equations - practice for 13 year olds - page 10 of 45
Number of problems found: 887
- Maria 2
Maria is seven years older than her brother Robert, and in 2 years, her age will be four times Robert's age three years ago. Find their present ages. - Four-times 48741
Karel's age is two-fifths the age of his older brother Michal. Two years ago, Karel was four times younger than Michal. How old is Karel now? - School 48403
There were 43 pupils in the school club, seven fewer boys than the girls. How many boys and girls were in the club? - Attended 47663
Three times more boys than girls attended the student meeting. When 8 boys and 8 girls left early, five times more boys than girls stayed at the meeting. How many boys and how many girls were at the game?
- Assemblers 47483
Two assemblers with the same daily output were to complete the assembly in 12 days. After 4 days, one of them got sick, and the other finished the assembly in another 16 days. How long would it take everyone to do the assembly by themselves? - Collection 47221
Mr. Smith has 49 specimens of beetles and spiders in his collection. He needs to remember how many bugs and spiders he has, but he knows he has 324 legs in his collection. How many bugs and spiders does he have in his collection? (Hint: First, figure out - Confectionery 47211
They want to buy a mixture of candies for the confectionery, which consists of fruit candies at CZK 170/kg and chocolate candies at CZK 240/kg. The mixture should be 20 kg for 212 CZK/kg. How many fruit candies and how many chocolate candies must he buy? - 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?
- Consecutive 47011
The sum of two consecutive odd numbers is 184. What are these numbers? - 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? - 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?
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