System of equations - math word problems - page 43 of 107
Number of problems found: 2125
- 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?
- Expensive 17743
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?
- Two gardens
The total area of the two gardens is 864 m². The first garden is 60 m² smaller than three times the second garden. What is the area of each garden?
- Receives 17653
Honza, Lucas, and David are to split CZK 5,400 so that Lucas receives CZK 400 more than Honza and David CZK 400 less than Honza. How much will each of them receive?
- Twelve ties
The price of 12 ties before the discount was the same as 15 ties after the discount. Calculate the price of 1 tie after the discount if you know that the discount price of one tie fell by 40 CZK.
- Concentration 17633
If we mix 4l and 6l of differently concentrated salt solutions, we get a 12% solution. If we use 6l of the first and 4l of the second solution, we get a 13% solution. What is the concentration of each solution?
- Banknotes 17573
The eldest sister saved CZK 7,800 in the bank. She brought this amount only in 100CZK and 200CZK banknotes. The total number of these banknotes was 50. How many banknotes of both values were there?
- Discounted 17463
Grandma bought a new apron before Christmas. After Christmas, the store discounted the apron by 46%, so Grandma bought two more of the same apron. In total, she paid 540 crowns for all 3 pieces. How many crowns did the apron cost before Christmas, and how
- Semi-skimmed 17403
Mrs. Cermak paid 130 CZK for five boxes of semi-skimmed milk and ten rolls. A box of milk is 17 more expensive than a croissant. Calculate the price of a) 1 box of milk, b) 1 roll.
- Large family
I have as many brothers as sisters, and each of my brothers has twice as many sisters as brothers. How many children do parents have?
- Motorcycle 17343
Karel left for the cottage at 7:00 and his parents 20 minutes later. Everyone came to the chat at the same time. Karel rode a motorcycle at a speed of 20 km/h, and his parents drove a car at 1 km per minute. How far is the cottage from where they live? Wh
- Establishment 17283
The pupils of 7. A planted raspberry and currant bushes in the establishment of the school garden in the same ratio as the number of girls and boys in their class. How many raspberries and a round of currants did they plant when they planted 14 bushes tog
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