System of equations - math word problems - page 36 of 110
Number of problems found: 2182
- Aircraft models
How many car models did the collector own after the collector's market? The collector of car and aircraft models owned three times more car models than aircraft. He sold seven car models and nine aircraft models on the stock exchange and bought 12 car mod - MF graduate
78 school students graduate in mathematics or physics. Three times more students graduate from mathematics and do not graduate from physics than those who graduate from physics and do not graduate from mathematics. 69 students graduate in mathematics. How - Reward distribution
Peter got a fifth more than Paul, George got CZK 100 more than Peter, and John got half of what Peter did. Together they shared a reward of CZK 2,500. How much did each person receive? - Solution volume
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180 g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³. - Collision of bodies
From point A at a height of 2 m and from point B at a height of 6 m, two bodies are thrown at the same time towards each other. The first from point A with a horizontal speed of 8 m/s, and the second from the direction down at an angle of 45 degrees to th - Grandma grandchildren age
Grandma is 72 years old. It's four times the sum of the ages of her two grandchildren. The age of the older of them is twice of a younger grandson. How old is your younger grandson? - Direction vector
The line p is given by the point P [- 0,5; 1] and the direction vector s = (1,5; - 3) determines: A) value of parameter t for points X [- 1,5; 3], Y [1; - 2] lines p B) whether the points R [0,5; - 1], S [1,5; 3] lie on the line p C) parametric equations - Fresh juice
The seller offers fresh-squeezed juice, which the customer either pours into his own containers or sells in liter plastic bottles, which the customer buys from him. A liter of juice costs 40 CZK more than a bottle. There is no charge for turning the juice - School pupil distribution
A total of 1415 pupils attend the three primary schools. They go to the second school twice as much as to the first, and to the third, they go 100 less than to the second. How many pupils attend the third school? - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculate the size of the embankment section area. - Helena Jane savings
Helen had 20% more savings than Jane. They have saved 1804 CZK. How much have Helen and Jane held? - The difference of AP Find the difference d in an AP (arithmetic progression) whose 5th term is 18 and 39th term is 120.
- Between two There are regular flights between two airports 690 km apart. A plane leaves the first airport at 6:30 at an average speed 60 km/h greater than the second plane, which leaves the second airport at 7:00. The planes always pass each other at 9:00. What is th
- Father daughter age
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter? - Karel savings calculation Charles saved CZK 4,300 a year. In the last five months of the year, he saved 100 crowns less than in the previous seven months. How much did he save first, and how much then?
- Bottle filling calculation
We filled 90 liters of must into bottles, some with a volume of 1 liter and some with a volume of 1.5 liters. Thus, we have a total of 70 bottles of must. How many bottles of each species did we fill? - Orchard sapling planting
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho - Soldier march calculation
The soldiers walked 90 km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Tea mixture calculation
From two types of tea for 160 CZK per 1 kg and 220 CZK per kilogram, 20 kilograms of the mixture for 205 CZK per kilogram will be prepared. How many kilograms of each type of tea need to be mixed? - Mixture of coffee
They have to prepare a coffee mixture in packing centers, so 1 kg costs 240 CZK. Two types of coffee are in stock at the prices of 220 CZK per 1 kg and 300 CZK per 1 kg. How many kilograms of each species need to be mixed to prepare 50 kg of the required
Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
