System of equations - math word problems - page 35 of 107
Number of problems found: 2125
- Bottles 31621
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?
- Saplings 31521
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
- Soldiers 31501
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?
- Kilograms 31301
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
- Seedlings 30831
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.
- Earned 30451
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.
- Kilometers 30021
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?
- Magnitude 29891
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?
- Consecutive 29761
Determine three consecutive natural numbers, the sum of which is 66.
- Father and son
When I was eight years old, my father was 30 years old. Today, my father is three times more than me. How old am I?
- Soccer balls
Pupils in one class want to buy two soccer balls together. If each of them brings 12.50 euros, they will miss 100 euros; if each brings 16 euros, they will remain 12 euros. How many students are in the class?
- Journey to spa
Mr. Dvorak took his wife to the spa, and the journey took 3.5 hours. On the way back, he drove 12 km/h faster and was home in 3 hours. At what speed did he go to the spa, and at what speed did he return?
- The water barrel
The water barrel weighs 122 kg. If we pour 75% of the water out of it, it will weigh 35 kg. What is the weight of the barrel?
- Kilometers 29551
The Poznáváky family traveled by car for 3 days in Slovakia. On the first day, they covered twice as many kilometers as on the second day, and on the third day, they covered 50 kilometers more than on the second day. They drove a total of 700 kilometers i
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