System of equations - math word problems - page 77 of 103
Number of problems found: 2041
- Numbers 3974
The sum of two numbers is 10,000, and one is four times larger than the other. What are two numbers?
- Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions.
- Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.
- Beginning 3930
Roland has 490 balls. If he gave 145 bullets to Marek, he would still have 100 more bullets than Marek. How many balls did Marek have at the beginning? How many shots do they have together?
- 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?
- Difference 3875
The four numbers are in a ratio of 5:7:4:6. Their difference is equal to -84. Specify these numbers.
- Difference 3870
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.
- Directorate 3845
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
- Blueberries 3843
Peter, Alex, and Clara collected 112 blueberries. Peter collected two more blueberries than Clara. But Alex collected 34 less than Clara. How much does 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.
- Determine 3837
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.
- Daniel 3833
Dano has 50% more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Find how much money Daniel, Miloš, and Jarka have.
- Determine 3831
Dano has 2x more money than Milos. Jarka has 4 euros more than Miloš. They have a total of 52 euros. Determine how much money Dano, Miloš, and Jarka have.
- Three friends
Danica, Lenka, and Dalibor have 96 kg altogether. Lenka weighs 75% more than Dalibor, and Danica weighs 6 kg more than Dalibor. Determine the weight of Danice, Lenka, and Dalibor.
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