System of equations - math word problems - page 16 of 110
Number of problems found: 2182
- Banknote payment euros
Participants paid out 3,300 euros in 40 banknotes. Some were 50e, and others were 100e. How many were there? - Younger Carlos
In 2005, Peter was three times as old as Carlos. In 2020, Carlos was half his age younger than Peter. In which year was Peter born and in which Carlos? - Apricot peach purchase
We paid a total of 85 crowns for the purchase of 2.5 kg of apricots and 1.5 kg of peaches. A kilogram of peaches is CZK 2 cheaper than a kilogram of apricots. How much CZK was paid for the apricots? - Tie price calculation
CZK 895 was paid for three ties. A blue tie was 18% more expensive than a gray one, and a brown one was CZK 100 more expensive than a gray one. Calculate the prices of individual ties. - Collection of medicinal plants
A pensioners' club organised a collection of medicinal plants. Two pensioners could not participate in the collection for health reasons, the others decided to collect dead-nettle, elder, and coltsfoot. All three herbs were collected by 7 pensioners, dead - Pavla Irena age Paula is 2x older than Irene. Four years ago, Paula was 6 times as old than Irene was then. In how many years will the ages of Paula and Irene be in the ratio of 4:3? Thanks
- Everyone age average There are 10 students in the drama club. We count everyone's age in whole years. The average age of the girls is 12.25 and the boys 12.5, and the average age of all is 12.3. How many girls and how many boys are there in the class?
- In the fifth
In the fifth grade, which is attended by 88 pupils, two elective subjects are taught: mathematics exercises and sports games. 66 pupils did not attend mathematics exercises, which is 3 more than the number of pupils who did not sign up for sports games. 9 - Eva number product
Eve thought of two natural numbers. She first added these correctly, then subtracted them correctly. In both cases, she got a double-digit result. The product of the resulting two-digit numbers was 645. Which numbers did Eve think of? Please, what is this - Agricultural
Last year, the Agro agricultural company sowed wheat on a total area of 29 ha and rye on a total area of 18 ha. From all these fields, it harvested a combined total of 137.4 tonnes of grain. The sum of the average yields per hectare of wheat and rye was 5 - Weekend visitor percentage
The second weekend saw 20% fewer visitors than the first. Over the two weekends, the number of visitors was 27,500. How many visitors came on the second weekend? - Hot cocoa
Santa and Baby Jesus met together for hot cocoa with cinnamon in the Šenov Drevjanka. Santa finished his cocoa 18 minutes earlier and as he was in a hurry he immediately left for the North Pole. At the moment when Baby Jesus also finished his cocoa, he no - Water temperature mixing
You have water at a temperature of 10 °C and boiling water at a temperature of 100 °C. How do you prepare 9 liters of water at a temperature of 30 °C? - Certain
A certain product can be produced by two technological procedures. The probability of first-class quality in the first procedure is 0.68, in the second 0.4. All products are stored together. By the first procedure we produce 1.5x more products than by the - Janka Danka payment Jane and Dana together paid €132 for the purchase. However, Jane paid five times as many as Dana. How many euros did Jane pay, and how much did Dana pay?
- Master 7
A master craftsman and an apprentice are laying tiles on a roof. At the end of the work, they found that the apprentice did only one third of the work and the master did the rest. If the master worked alone, the work would take him 2 hours longer than if - Tatra sand transport
Three Tatras transported 22.2 tons of sand. The second Tatra transported 20% more than the first, and the third Tatra 25% more than the second. How much did each Tatra take? - Triangle arithmetic sides
The lengths of the sides of a right triangle form the first 3 terms of the arithmetic sequence. Its area is 6 cm². Find length of its sides. - Tablet laptop price The school bought 20 tablets and 15 laptops for the students for a total of exactly €6,000. Calculate the amount of one tablet and the price of a laptop if the tablet was €50 cheaper than the laptop.
- Equal number multiplication When I multiply two equal natural numbers, I get the same result as when I add them together. Which ones are they?
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