System of equations - math word problems - page 75 of 107
Number of problems found: 2130
- Sales of products
For 80 pieces of two quality products, the total sales are 175 Eur. Suppose the first quality product was sold for n EUR per piece (n natural number) and the second quality product after 2 EUR per piece. How many pieces of the first quality were sold? - Postage stamps
There were 301 postage stamps in the desk drawer. They were stamps for 2, 3, and 5 crowns. The number of each species can be written as a three-digit number. The total price of all stamps is CZK 1,003. How many stamps were there? - Hostel rooms
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Coin count
Eva had seven coins. Crowns, two-crowns, and five-crowns. At least two of each. How many did she have if she could buy three packs of gum for six crowns? - Weight puzzle
A + B weighs 75 kg, B + C weighs 83 kg, C + D weighs 92 kg. How much does A + D weigh? - Rectangle
The length of one side of the rectangle is three times the length of the second side. What are the dimensions of the rectangle if its circumference is 96 cm? - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Trapezoid
How long are the trapezoid bases with an area of 24 cm² and a height of 3 cm? One base is three times longer than the shorter. - Factory workers
The textile factory employs 600 women and men, twice as many women as men. How many women and how many men work here? Demonstrate and explain the calculation procedure. - Car travel
A passenger car traveling at a speed of 60 km/h arrived from place A to place B one and a half hours earlier than a truck traveling at 40 km/h. How far apart are placed A and B, and how long did the car travel? - Bags
The first bag weighs 18 kg, the second bag is one-third lighter than the first, and the third bag has three times less than the weight of all three bags. Determine their weights. - Savings
Paul has by half greater savings than half Stanley, but the same savings as Radek. Staney save 120 CZK less than Radek. What savings have three boys together? - Cinema visitors
The cinema was visited by a total of 890 people in 3 days. On the 2nd day, it was three times more than the 1st day; on the 3rd day, 50 people more than on the 2nd day visited the cinema. How many people see the cinema each day? - Apple harvest
Pupils collected a total of 42 kg of apples. Peter harvests half as much as Zuzka and Martin, a third less than Petr. How much did each of them harvest? - Youngest sibling
Peter, Leo, and Ivo are siblings. Peter is three times older than Leo, and Leo is three times younger than Ivo. They are 28 years old together. How many years is the youngest of them? - Hamsters and guinea pigs
In the morning, they had five times more hamsters than guinea pigs in the store. After selling 4 guinea pigs and 4 hamsters, they were left with four times as many hamsters as guinea pigs. How many hamsters and guinea pigs did they have together in the sh - Addend calculation
Calculate the larger of the two addends if you know that the smaller census is a third of the larger one, and their sum is 48 - Five-sevenths of a volume
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add? - Block volume
The sketch shows a network of blocks with a surface size of 150 cm². Calculate its volume. (MONITOR 9 - 2005/30 question.) - Family members ages The son, mother, and father are 96 years old. A mother is 23 years older than her son and five years younger than his father. How old is a son?
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