System of equations - math word problems - page 83 of 103
Number of problems found: 2041
- Programmers 3247
The three programmers received a reward of 21,000 euros for their joint work. They received the money according to the work done. The first got 20% less than the second, and the third got 50% more than the first. How much did each of them receive?
- Enterprise company
30% of all employees in the enterprise are women. Men are 360 more. How many employees are in the company?
- Motel
Three different dinners, A, B, and C, are served in the motel. Three 20 members went to a motel. Group 1 ordered dinner A 20 members, and their average dinner price in the group was CZK 200. From Group 2, they ordered dinner A: 10 persons, B 10 dinners, a
- Intersection 3229
Intersection of graphs of functions y = 5x-2 and y = -3x-6
- One-sixth 3227
Two cans hold 20 liters of milk. If we pour from one-sixth to the other, both cans will be the same. How much milk is in each can?
- Children tickets
A ticket to the museum for children costs 10 SKK for adults and 20 SKK. Fifty people came to the museum and paid 700 SKK. How many children were there?
- Produced 3213
Workers produced 12,500 pieces of parts in three days. On the second day, they produced 200 pieces less than on the third day, and on the first day, 350 pieces more than on the 2nd day. How many do they make each day?
- Together 3206
Jana, Martina, and Zuzka shared candies in a ratio of 4:5:3. During this division, Martina had 16 sweets less than Jana and Zuzka had together. How many candies did each of the girls have?
- Donuts
At one table, Thomas, Filip, and Martin sit in the dining room. Together they eat 36 donuts. Filip ate twice as much as Thomas and Martin half over Filip? How many have donuts eaten each?
- Length-to-width 3175
We want to enclose a rectangular garden whose length-to-width ratio is 2:1 and whose half of the perimeter borders the road. The fencing path along the road costs 7 euros per meter, and the other fencing costs only 3 euros per meter. How many acres does a
- Circumference 3160
In an isosceles triangle, the base length is 75% of the arm's length. If the circumference is 22 cm, calculate the area of the triangle.
- Three-hectolitre 3136
Workers rolled the oil into 115 two-liter and three-liter cans from a full three-hectolitre barrel. How many cans were there?
- Siblings
Three siblings had saved up a total of 1,274 CZK. Peter had saved up to 15% more than Jirka and Hanka, 10% less than Peter. How much money did they save for each one of them?
- Pohádkov 3118
The brothers live in a small house with a garden in Pohádkov. The house has four times more windows than doors. There are a total of 20 windows and doors in the house. How many windows and how many doors?
- Rectangle vs square
One side of the rectangle is 1 cm shorter than the side of the square. The second side is 3 cm longer than the side of the square. The square and rectangle have the same area. Calculate the length of the sides of a square and a rectangle.
- Difference 3113
The difference between the two numbers is 82. The first number is eight, less than the square of the second number. Specify these numbers.
- Concentration
How many grams of 65% and 50% acid are to be mixed to give 240 g of acid with a concentration of 60%?
- Product 3108
The product of 3 numbers is 42. The first is 1.5 times larger than the second number, and the third is 3.5 times larger than the second number. What numbers are these?
- Liters 3107
Find how many liters of water at 80 °C and 20 °C need to mix to get 30 liters at 60 °C.
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