System of equations + reason - practice problems - page 16 of 20
Number of problems found: 398
- Shoes and slippers
Shoes were three times as many as slippers. If shoes were cheaper by 120, they would be twice as expensive as slippers. How much did the shoes cost, and how much did the slippers? - Bus stop
Find at what time the bus leaves from the bus stop outside the village if you know that when you leave home at 8:00 and go at a speed of 3 km/h, you come to a stop 9 minutes after the departure of the bus, and when you go speed at 4 km/h, you come to the - Three ints
The sum of three consecutive integers is 2016. What numbers are they? - Tangerines 2508
Michael, Tono, Marek, and Julia have 48 mandarins. Michael has 12 tangerines more than Tono, and Julia has eight tangerines less than Marek. Determine how much each has.
- Three numbers
What are three numbers that have the property: the sum of the first and second numbers' reciprocals is 12/7, the first and third 11/24, and the second and the third 3/8. - Commuters 2428
A total of 750 pupils attend the school. 20% of students are commuters. 18% of pupils commute in the first grade and 23% in the second grade. How many first graders does the school have? - Three friends
Peter is eight times older than Rado, and Rado is three times younger than Joseph. Together they have 120 years. Determine how many are each of them. - Unoccupied 2336
The swallows flew in and sat on the benches, one swallow on each bench, while one swallow did not miss an empty bench. If two swallows sat on each bench, one bench would remain unoccupied. How many swallows were there, and how many benches? - Buttons
The shirt has six buttons, and the blouse has four buttons. All buttons are 176. Shirts and blouses are together 36. How many shirts and blouses?
- Chamber
In the chamber, light is broken, and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. To have such certainty for the pair of g - Birds
On the farm, they have a total of 110 birds. Geese and turkeys together are 47. Hens are three times more than the turkey. How much is poultry by species? - Children
Margaret and Zdena weigh the same and Petra 3 kg more. Together weigh 156 kg. How much do they weigh? - Exchanged 2214
In the table, the exchange rate list is an exchange office, but question marks replace some values. The exchange office exchanges money at the rates quoted and does not charge any other fees. nákup prodej 1 EUR 26,20 CZK 28,00 CZK 1 GBP b=? CZK c=? CZK 1. - Sweets
Three chocolate and seven cakes cost 85 CZK. Two chocolates and six cakes cost 86 CZK. How much are five chocolates and nine cakes? I wonder how to get the result, but only by logic, without using a system of equations.
- Lord Ram
When lord Ram was founded, the breed of white sheep was eight more than black. White sheep are four times higher than at the beginning, and black three times more than at the beginning. White sheep is now 42 more than the black. How many white and black s - Gasoline
35 l of gasoline is to be divided into four canisters so that in the third canister was 5 l less than the first canister, the fourth canister 10 l more than in the third canister, and the second canister half what in the first canister. How many liters of - Crates 2
In six crates is 45 kg of apples Five crates are equally apples. In the first crate is 3 kg more apples. How many kilograms are in each crate? - Three siblings
Three siblings have a birthday in one day-today. Together they have 35 years today. The youngest is three years younger than the middle, and the oldest is five years older than the middle. How old is each? - Three numbers
Find three numbers so that the second number is four times greater than the first and the third is lower by five than the second number. Their sum is 67.
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