System of equations - math word problems - page 42 of 107
Number of problems found: 2125
- The bakery
The bakery delivered 60 kg of bread to the store. The bread weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg, and how many were two-kilo loaves? - Backpacks 18723
They have two types of backpacks in the store. Blue is for 160 CZK, and red is for 180 CZK. They have 24 backpacks with a total value of CZK 4,120. How many blue and red backpacks do they have? - Trapezoid: 18703
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Speedometer 18693
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled - Pavel 3
Pavel has deposits in two accounts. One in a current account with an annual interest of 2% and the other in a savings account with an annual interest of 4%. Both deposits earned him CZK 1,000 per year. If Pavel transferred the deposit from one account to - Successively 18673
Vašek 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 collec - Thirty-five 18643
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.
- Determine 18613
A number twice less than y is 12 less than y. Determine the size of the number y. - Tickets 18603
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? - Collected 18593
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? - Exchanged 18573
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? - Together 18563
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 - Machine 18483 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?
- One-eighth 18473
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? - Correctly 18243
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 18083 The sum of five consecutive even numbers is 40. Find these numbers.
- Porcelain 18063
Four cups and one porcelain saucer cost € 140. Two cups and five saucers cost € 160. How much is a cup?
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