System of equations - math word problems - page 88 of 110
Number of problems found: 2182
- Ticket sales
They sold 120 tickets at the children's performance for CZK 3,100. The children cost CZK 20, and the adults cost CZK 40. How many children's tickets have been sold? - Product equals sum
The product of two numbers equals their sum. One number is four times the other. Find these numbers, given that neither equals zero. - The gardener
The gardener bought trees for 960 CZK. If every tree were cheaper by 12 CZK, he would have gotten four more trees for the same money. How many trees did he buy? - Rectangle from string
String 12 m. Make a rectangle when one side is two times longer than its width. - Siblings ages
The average age of the siblings Standy, Radek, and Patricia are ten years. Standa is twice as old as Radek, and Patricia is two years younger than Radek. Determine the age of each sibling. - Algebrogram
Solve cryptarithmetic (alphametics) for a sum of three numbers: BEK KEMR SOMR ________ HERCI - Two numbers
The sum of the two numbers is 75. Find these numbers. Three-quarters of the first are one-seventh of the second. - Money distribution
Pavol, Edita and Juraj have a total of 1243 euros. Pavol has 200 euros more than Edita, Juraj has 457 euros less than Edita. Determine how much each has. - Mother and son age
The son and mother are 32 years old together. My mother is 28 years older. Find how old they are. - Hockey audience
In the hockey audience between Sweden and Finland, there are 126 men, 65 boys, 46 children from Sweden, 50 children from Finland, and 200 Swedes, of which half are men and 39 women from Finland. How many people are in the audience? - Potatoes bags
I have three bags with 21 kg of potatoes. The first bag has 5.5 kg more potatoes than the second bag, and the third has 0.5 kg more potatoes than the second bag. Determine the weight of each bag. - Sawmill factory
Peter works in the factory. The bus stop is 10 km from the factory. Therefore, when the bus arrives for Peter, the driver always leaves the factory and takes him to work. They arrived at the saw exactly at 8:00. Today, the bus arrived 11 minutes earlier, - Geometric sequence
A1 + a3 = 15 a1 + a2 + a3 = 21 Calculate a1 and q (quotient of the geometric sequence). - Football tickets
In two days, they sold 12,600 tickets for the football match. They sold 80% of what they did the next day on the first day. How many tickets were sold on the first day, and how many on the second day? - Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution? - Vacation
Karel and his parents flew on vacation. When checking in at the airport, their 3 pieces of luggage had a total weight of 44 kg. Father's luggage weighed three times as much as Karel's luggage, and mother's luggage weighed half as much as father's luggage. - CuZn
Brass is an alloy of copper and zinc. The 10-centimeter brass cube weighs 8.6 kg. Copper density is 8930 kg/m3, the zinc density is 7130 kg/m³. Calculate how many kilograms of copper and zinc a cube contains. - Scratches
The ticket seller sold 1,280 scratch cards in three days. He sold 90 tickets less on the second day than on the first day. He sold 1.5 times more tickets on the third day than on the second day. How many tickets did he sell on the third day? - Two numbers The sum of two numbers is zero. A quarter of the first equals half of the second. What are the numbers?
- Prize distribution
We have to distribute 1200 euros to the five successful Olympic solvers so that the second and each subsequent one gets 50 euros less than the previous one. How many euros did each get?
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