System of equations - practice problems - page 8 of 110
Number of problems found: 2182
- Waffle, bar
Janet bought a wafer, a chocolate bar, and a candy bar. She paid 38 Sk in total. The chocolate bar was 8 Sk more expensive than the wafer, and the candy bar was four times more expensive than the wafer. How much did each item cost? - GP - free
For a geometric sequence, the following relationship between the first and third terms holds: a₁ − a₃ = −1.5 a₃ − a₁ = 1.5 Calculate the common ratio q and the first term a₁. - Wands - Wizard
The number promised the wizard Rhododendron that she would teach him a lot about numbers, but he must first solve her riddle: My two magic wands measure 63 cm together. One is 7 cm longer than the other. How long are the wands? - Me and my father
My father and I are currently 55 years old together. When we are 65 years old together, my father will be four times older than me. How old am I? - Daniel 3
Daniel and Eve earned 180 euros together. Daniel earned 70 euros more than Eve. How much did Daniel earn, and how much did Eve earn? - Three friends 10 Three friends Peter, Thomas, and George earned 4,000 CZK from part-time work. Peter earned three times more than Thomas, and George earned 500 CZK more than Thomas. How much did each of them earn?
- Matej 2
Matthew, Mark, Miles, and Matt had a total of 205 football player cards with signatures. Mark has four times more than Matthew. Matt had twice less than Mark. Miles had 20 fewer cards than Matthew. How many cards did each of them have? - In the domestic
In a domestic express train, there are 1st and 2nd class carriages. There are twice as many 2nd class carriages as 1st class carriages. Each carriage has 10 compartments. Each 1st class compartment has 6 seats, and each 2nd class compartment has 8 seats. - To the cinema 2
On Tuesday, 20 more visitors came to the cinema than on Monday. On Wednesday, half as many visitors came as on Tuesday. There were a total of 175 visitors over these three days. How many visitors came on each day? - Gardener 5
A gardener bought 17 apple trees and 11 pear trees and paid a total of €111.65. How much did 1 pear tree cost, given that its price was 35 cents higher than the price of 1 apple tree? How much would the gardener pay for 28 apple trees and 15 pear trees? - Anna had 2
Anna had 2 times more money than Betty. Celia had 12 euros more than Anna. Together, they had 92 euros. How much did each of them have? - Prizes - competition
For the prizes for the three best competitors a sum of money in crowns was prepared. The first competitor got half of this sum. The second competitor got 300 crowns. The third competitor got the rest of the prepared amount, which was three times less crow - Double the number of apples Adam and Ben were picking apples. Together they picked 77 kg of apples. How much did each collect, given that Adam collected 5 kg more than twice what Ben collected?
- On the board
A division problem with two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is incre - Three numbers The product of three natural numbers is 600. If one factor is reduced by 10, the product decreases by 400. If another factor is increased by 5 instead, the product doubles. Which three numbers have this property?
- Preparing the mixture
The seller prepared 25 kg of a mixture priced at 264 CZK per kg. The first type cost 180 CZK per kg and the second 390 CZK per kg. How much of each did he need? - Reading a Book Faster
Jana received a new book. She wants to read it in 8 days. If she read 6 more pages a day, she would finish the book two days earlier. How many pages does the book have? - Running Distances of Friends
Three friends, Jana, Jannet, and Adriana, like to run. On Sunday they all went for a run. Jana ran twice as many kilometres as Jannet. Adriana ran 3 kilometres more than Jannet. How many kilometres did Adriana run if the friends ran 11 kilometres in total - Counting Light Cars
There are 96 cars in a car park. There are 24 fewer dark-coloured cars than light-coloured cars. How many light-coloured cars are there in the car park? - A year ago
A year ago, Jano was twice as old as Helen. In five years, Helen will be twice as old as Jano. How old is Helen now?
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