System of equations - math word problems - page 40 of 103
Number of problems found: 2055
- 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? - Circumference 18443
In the parallelogram ABCD, the side AB is three times longer than the side BC. The circumference of the parallelogram is 20 cm. Determine the lengths of the sides of the parallelogram. - 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? - Equations 18023
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 17981
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? - Heavy-duty 17941
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? - Double-performance 17931
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
- Purchased 17851
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there? - Increased 17813
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance? - Fourth-week 17783
They earned CZK 113,400 in the shop in four weeks. The first and fourth-week sales were the same, the second week 10% higher than the first week and the third week 5% lower than the first week. How much did they earn each week? - Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms? - One-fifth 17753
The store stacked two hundred boxes of washing powder in three piles. There were 13 more boxes in the first pile than in the second pile, one-fifth more in the second pile than in the third pile. How many boxes were in which pile?
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there?Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
