System of equations - practice for 13 year olds - page 15 of 45
Number of problems found: 886
- 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? - Consecutive 18083
The sum of five consecutive even numbers is 40. Find these numbers. - 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 - 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? - 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. - 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? - 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 - Wines
Eleven liters of white wine and eight liters of red wine cost a total of 1315 CZK. 1 liter of white wine was 10 CZK cheaper than a liter of red wine. How much is 1 liter of white and how much red wine? - Weighing 15943
A bag of red candies weighing 200 g is sold for CZK 18, and the same amount of blue candies for CZK 12. Create a mixture of sweets for CZK 8 per 100 g. - Components 15751
Two workers produce 138 parts in one shift. At the same time, the first of them produces 30% more than the second. How many components will each have? I need a notation and an equation. Thank you. - Two accounts
Two accounts in the bank, one per year interest 2%, the second 3%. Total interest income 1900 USD. If we reversed interest rates, the yield would be USD 200 higher. What are the amounts on each account? - Accommodated 15223
A total of 17 pupils are accommodated in 5 rooms in the dormitory. Some rooms are triple, some quadruple. Determine how many pupils are accommodated in triple rooms. - Buttons
The men's shirt has sewn nine buttons, and the blouse has three buttons. Together they sewed 60 pieces and consumed 390 buttons. How many shirts?
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