System of equations - math word problems - page 42 of 103
Number of problems found: 2055
- Investigation 16543
There were 16 more forwards than defensemen on the hockey team. As part of the investigation, the coach was tasked with dismissing a quarter of the attackers and four defenders from the team. After the release, 22 forwards and defensemen remained on the t
- Adding
Divide number 135 into two additions, one adding 30 more than 2/5 of the other. Write the bigger one.
- Two-digit 16413
The sum of the digits of a two-digit number is 8. If we change the order of the digits, the result is 36 smaller. Find this number.
- Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is.
- The presentation
The travelers' presentation came with three times as many men as women. When eight men left with their partners, there were five times more men than women at the presentation. How many were men and women originally?
- Two-fifths 16103
The orchard contained 50% cherries, two-fifths apple trees, and five pear trees. How many trees were there?
- Wines
Eleven liters of white wine and eight liters of red wine cost a total of 1315 CZK. 1 liter of white wine was 10 CZK cheaper than a liter of red wine. How much is 1 liter of white and how much red wine?
- Weighing 15943
A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g.
- Warehouse 15843
They sold coal in a coal warehouse for three days. On the first day, they sold a quarter of the coal, 2/3 of the rest on the second day, and the remaining 300 tons of coal on the third day. How many tons of coal did they sell the next day?
- Equilibrium 15833
Two boys of masses 40 kg and 50 kg want to make a swing out of a log 3.6 m long. How far from either end must he support it, so they are in equilibrium? How can this be calculated with a single equation? And calculate the rest.
- Components 15751
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. Thank you.
- Vegetable meal
The cook was making a meal - in the ratio of 4:3:1, mixing tomatoes: pepper: onion. Onions were 5 kg less than peppers. How many kgs of tomatoes did he need to prepare the meal?
- Water current
John swims upstream. After a while, he passes the bottle, and from that moment, he floats for 20 minutes in the same direction. He then turns around and swims back, and from the first meeting with the bottle, he sails 2 kilometers before he reaches the bo
- Guppies for sale
Paul had a bowl of guppies for sale. Four customers were milling around the store. 1. Rod told Paul - I'll take half the guppies in the bowl, plus had a guppy. 2. Heather said - I'll take half of what you have plus half a guppy. Nancy, the third customer,
- Two accounts
Two accounts in the bank, one per year interest 2%, the second 3%. Total interest income 1900 USD. If we reversed interest rates, the yield would be USD 200 higher. What are the amounts on each account?
- Accommodated 15223
A total of 17 pupils are accommodated in 5 rooms in the dormitory. Some rooms are triple, some quadruple. Determine how many pupils are accommodated in triple rooms.
- Buttons
The men's shirt has nine buttons, and the blouse has three buttons. Together they sewed 60 pieces and consumed 390 buttons. How many shirts?
- TV competition
Ten contestants in the competition answer five questions, one per round. Anyone who answers correctly will receive as many points as the number of competitors who answered incorrectly in that round. After the contest, one of the contestants said: We got 1
- Palka 14933
The bat and the ball together cost €110. A bat costs 100 euros more than a ball. How much is the ball?
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