System of equations - math word problems - page 44 of 110
Number of problems found: 2182
- Pavel 3
Pavel has deposits in two accounts: one in a current account with an annual interest rate of 2% and the other in a savings account with an annual interest rate of 4%. Together, both deposits earned him 1,000 CZK per year. If Pavel swapped the deposits bet - Mushroom collection calculation
Wes likes to go to the forest to pick mushrooms. He collected them successively for 3 days. Day 1 found seven less than Day 3. On the second day, he collected eight more than on the third day. He collected a total of 79 mushrooms. How much did he collect - Business trip calculation
Thirty-five people took part in the business trip. They paid a total of €246. The journey price for employees was €6 and for a family member, €9. How many employees were on tour? I will also ask for the procedure. - Number calculation puzzle
A number twice less than y is 12 less than y. Determine the size of the number y. - Cinema ticket sales
The cashier at the cinema sells tickets for 50 CZK and 40 CZK. He has sold 143 tickets and earned a total of CZK 6,340. How many tickets did he sell? - Ski trip calculation
Adults and children, a total of 40 people, took part in the ski trip. The tour price was 140 CZK for adults and 60 CZK for children. A total of CZK 3,200 was collected. How many children and how many adults took part in the tour? - Crown coin exchange
The merchant exchanged CZK 1,000 (CZK is the Czech crown) for twenty and ten crowns in the bank. He had a total of 70 coins. How many crowns did he have? How many crowns did he have? - Rhine Danube length
The length of the Rhine is 3/7 the length of the Danube. Both together are 4000 km long. How long is each river? - Gibraltar Strait
The length of the Strait of Gibraltar is 1.5 times the length of the Bering Strait. The total length of both straits is 150 km. Find the length of each waterway. - The tourist
The tourist wanted to walk the route 16 km at a specific time. He, therefore, came out at the necessary constant speed. However, after a 4 km walk, he fell unplanned into the lake, where he almost drowned. It took him 20 minutes to get to the shore and re - Coffee machine coins Coins worth 20 cents and 50 cents are thrown into a coffee machine. There are 199 coins in the machine with a total value of € 68. How many are 20-cent coins in the machine?
- Sister money sharing
The two sisters are to share CZK 600. The younger should get one-eighth less than the older. How much CZK should each of the nurses receive? - Task solving calculation
Pupils have 10 points for each correctly solved task. They will be deducted 5 points for the wrong solution. After solving 20 tasks, Marian had 80 points. How many tasks did he solve correctly, and how many did not? - Vector equation
Let's v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7). Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1, c2, c3 and decide whether v, u, and w are linear dependent or independent - Consecutive even numbers The sum of five consecutive even numbers is 40. Find these numbers.
- Cup saucer price
Four cups and one porcelain saucer cost € 140. Two cups and five saucers cost € 160. How much is a cup? - Four equation system
Solve a system of equations with four unknowns: 2a + 2b-c + d = 4 4a + 3b-c + 2d = 6 8a + 5b-3c + 4d = 12 3a + 3b-2c + 2d = 6 - Grandfather grandson age
Today, my grandfather is four times older than his grandson. Two years ago, my grandfather was six years younger than five times his grandson's age. How old is your grandson today? - Train weight calculation
The railroad workers carried five loads with five heavy trains than ten standard trains. What is the weight of a heavy-duty train if it is 2,200 t heavier than a standard train? - Excavation machine distribution
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m
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