System of equations - practice for 14 year olds - page 14 of 61
Number of problems found: 1211
- Three unknown numbers
The sum of the three numbers is 106. the first number is ten more than the third. The second number is 2x the third. What are the numbers? - The sum 9
The sum of two integers is 4. Their difference is 8. What are these two integers? - The sum 8
The sum of the two numbers is 21. If three times the smaller numbers are two less than twice the larger number, find the two numbers. - In the library
The library at Lenape Elementary School has 2/5 as many fiction books as nonfiction books. There are 56 books in the school library. How many books are fiction books?
- 6 plates
Six plates and 5 cups cost 37.50 dollars. Seven plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the price of 1 cup? - Deposit
We deposited a total of $15,000 into simple interest accounts. The annual simple interest rate on one account at 6% the annual simple interest rate on the second account at 7%. How much should be invested in each account so that the total interest earned - 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. - The profit
The profit made by a business in 2018 was triple that made in 2019. The profit in 2020 was R 3 million less than the profit in 2019. If the total profit in these three years was R 67 million, what was the profit made in 2020? - Two cars
Two cars (trucks and passengers) drove simultaneously from two places 50 km away. If they go against each other, they will meet in 30 minutes. If they follow each other in the same direction, the car will catch up with the truck in 2.5 hours. What is the
- Bottle, cup and jug
The bottle and the cup have the same weight as the jug. The bottle has the same weight as the cup and plate. Two jugs have the same weight as three plates. What is the weight of the bottle if the weight of the cup is 100g? - Siblings 48821
Three siblings saved CZK 1,445. Adela saved 10% less than Martin and David 10% more than Adela. How many crowns did each of them save? - 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? - Gardeners 47883
Gardeners have planted 1,100 flowers. Pansies are 280 less than tulips, and 40 daffodils than pansies. How many pansies have they planted?
- 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
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