System of equations - math word problems - page 28 of 107
Number of problems found: 2125
- Louis
Louis wants to carpet the rectangular floor of his basement. The basement has an area of 5,120 square feet. The width of the basement is 4/5 its length. What is the length of Louis's basement?
- 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?
- Fruit equation
Find how many peaches could be bought instead of buying one melon, one pear, one apple, and two plums if we know that: • Melon and plum cost the same as three apples • if we subtract the price of a pear from the price of a peach, we get the price of a plu
- Two workers
One worker makes a part 4 hours and the second 9 hours later than they would make the same part together. How long does it take for each worker to make the part himself?
- 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 of an age
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?
- Chocolates 47241
Two chocolates and five teas cost a total of 498 CZK. Chocolate is 18 CZK more expensive than tea. How much do one chocolate and one tea cost?
- 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 he bought nine balls and ten pucks for 536 CZK the next day. How much did one ball c
- Sisters 47181
Sisters Hanka and Jana have saved a total of 560 CZK. A third of Hanka's savings equals a quarter of Jana's savings. How much CZK has Hanka saved, and how much has Jana?
- 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?
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