System of equations - math word problems - page 36 of 98
Number of problems found: 1957
- 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
- Czechoslovakia 17233
Slovakia has an area 38% smaller than the Czech Republic. Original Czechoslovakia had an area of 128,000 square kilometers. What are the areas of both states? - Summands 17033
Express the number 274 in the form of the sum of three summands so that the first summand is 16 smaller than the second summand and the third summand is six larger than the first summand. - November 16963
Zuzana receives pocket money from her parents. In October and November, she managed to save 288 euros. The ratio of money saved for October and November is 5:4. How many euros did Zuzana save in October, and how much in November? - Triangle 16953
In the ABC triangle, the alpha angle is 36 degrees. The beta angle is twice the gamma. What is this triangle? - Originally 16943
There were 3 dwarves more than fairies in the forest kingdom. A drought hit the kingdom, and a quarter of the dwarves and one fairy left. The king thus reduced the number of dwarves and fairies in the kingdom to 3. How many fairies and dwarves were there
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