System of equations - math word problems - page 84 of 110
Number of problems found: 2182
- Three friends
Three friends divided the profit by 104,650 CZK so that for every 4 CZK, which got the first friend, equals five crowns for the second, and for every 9 CZK, which got the second, equals 16 CZK for the third. Question: Who got the most and how much? - Number ratio
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers. - Number difference
The difference between the two numbers is 16. They are natural numbers. The first number is 17 times larger than the second number. Identify both of these numbers. - Rectangle
The perimeter of a rectangle is 48 cm. Calculate its dimensions if they are in the ratio 5:3 (width: height) - Money duo Julius and Mark have 45 euros together. Mark has 50% more money than Julius. Determine the amount of money Mark and Julius have.
- Price saleoff
Shoes cost y euros. They were first discounted by 12% and then 50% of the new amount. After this double discount, the cost was exactly 22 euros. Determine the original price of the shoes. - School reward
There were 560 pupils in the school. They rewarded 8% of all boys and 10% of all girls for excellent results. The directorate stated that teachers rewarded 9% of all pupils. How many boys and how many girls attended the school? - Lighthouse
The man, 180 cm tall, walks along the seafront directly to the lighthouse. The male shadow caused by the beacon light is initially 5.4 meters long. When the man approaches the lighthouse by 90 meters, its shadow is shorter by 3 meters. How tall is the lig - Blueberry collection
Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How many did each of them collect? - Linear system
Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720 - Difference of two number
The difference between the two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers. - Nut distribution
Alena, Andrej, and Juraj have a total of 74 nuts. Alena has 45% more nuts than Andrej, and Juraj has 5 more nuts than Andrej. Determine how many nuts Alena, Juraj, and Andrej have. - Money comparison
Dan has 50% more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jerry have. - Money distribution
Dan has 2x more money than Milos. Jerry has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dan, Miloš, and Jerry have. - Three friends
Danica, Helen, and Dalibor have 96 kg altogether. Helen weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Helen, and Dalibor. - Two numbers The sum of the two numbers is 48. 12.5% of the first number equals exactly 4. Find both of these numbers.
- Money distribution
Dennis has 43% more money than Damian, and Zuzana has 12% less money than Damian. They have a total of 165 euros and 50 cents. Determine how much money Dennis, Damian, and Zuzana have. - Money distribution Dano and Juraj have a total of 120 euros. Juraj has 40% less money than Daniel. Determine how much money Daniel and Juraj have.
- Stolen amounts
X + Y = 31835 X is the amount stolen by 1,2 and 3 Y is the amount stolen by 4 and 5 1. stole half of X, 2. half the rest and 3 more on top of that 3. stole 6801.5 4. He stole 1/9 of Y, which is 513 5. He stole the rest - Money Peter has 2x more money than Michael. However, if Peter gave Michael € 16, Michael would have 3.5 times more money than Peter. Find how much money was initially sent from Peter and how much Michael.
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