System of equations - math word problems - page 35 of 107
Number of problems found: 2130
- 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
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena 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 the two airports 690 km apart. A plane leaves the first airport at 6:30 with an average speed of 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. W - 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
Karel 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 90km 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 - The ages
The ages of the four sons make an arithmetic sequence, the sum of which is the father's age today. In three years, the father's age will be the sum of the ages of the three eldest sons, and in the next two and three months, the father's age will be the su - Worker seedling planting
Three workers planted 3,555 seedlings a day. The first worked in the standard. The second planted 120 more, and the third 135 seedlings more than the first. How many seedlings did each worker plant? - There
There is a triangle ABC: A (-2,3), B (4, -1), C (2,5). Determine the general equations of the lines on which they lie: a) AB side, b) height to side c, c) Axis of the AB side, d) median ta to side a - Kohlrabies
The price of one kohlrabi increased by € 0.40. The number of kohlrabies a customer can buy for € 4 has thus decreased by 5. Find out the new price of one kohlrabi in euros. - Shop weekly earnings They earned CZK 98,400 in the shop in three weeks. The second week's sales were 20% higher than the first. The third week was 10% lower than the second week. How much did they earn each week?
- Area and perimeter of rectangle
The rectangle area is 3000 cm2, and one dimension is 10 cm larger than the other. Determine the perimeter of the rectangle. - Isosceles triangle
In an isosceles triangle ABC with base AB; A [3,4]; B [1,6] and the vertex C lies on the line 5x - 6y - 16 = 0. Calculate the coordinates of vertex C. - Tourist group pursuit
The first group of tourists left the hut at 8:00 AM at a speed of 4 km/h. The second group of tourists followed them half an hour later at a speed of 6 km/h. How long and how many kilometers from the cottage will it catch up with the first group? - Triangle angle calculation
The triangle ABC is the magnitude of the inner angle α 12 ° smaller than the angle β, and the angle γ is four times larger than the angle α. What size are these interior angles in the triangle?
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