System of equations - math word problems - page 39 of 103
Number of problems found: 2055
- Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block.
- Birthday 19313
Jan and Alice have a birthday today. Jan is five years younger than Alice. Ten years ago, they were a total of 65 years old. How old is Jan today?
- Solution 19283
How many grams of 80% solution and 55% solution do we need to mix to obtain 100 grams of 60% solution?
- Kilograms 19123
They were to dispatch and transport 35 machine tools of two types with a total weight of 16.54 tons from the plant. The machine of the first type weighed 420 kg. The second was 80 kilograms heavier. How many machines of the first and second kind did they
- Vector perpendicular
Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)
- Together 19033
During the football season, Adam scored 23 goals more than Braňo, and Braňo scored 16 goals less than Karel. Edo scored 6 goals more than Dušan. Karel gave 5 more than Edo. Braňo and Edo scored 17 goals together. How many goals did each boy score, and how
- Average speed
The average speed of a good cyclist is 30 km/h. The average speed of the less able is 20 km/h. They both set off on the same route at the same time. A good cyclist drove it 2 hours earlier. How long was the route?
- Children 18963
There are 39 people on the bus. There are 11 more adults than children. How many children are on the bus, and how many adults?
- Siblings 18943
Two siblings, Eva and Peter, saved a total of 228 CZK. Eva saved three times more than Peter. How much did each of them save?
- Exhibition 18783
During 3 days, 2870 people went to the exhibition. On the second day, 140 more people came to the exhibition than on the first day. On the 3rd day, there were 1.5 times more people at the exhibition than on the second day. How many people visited the exhi
- The bakery
The bakery delivered 60 kg of bread to the store. The bread weighed 1 kg and 2 kg, a total of 35 pieces. How many loaves weighed 1 kg, and how many were two-kilo loaves?
- Backpacks 18723
They have two types of backpacks in the store. Blue is for 160 CZK, and red is for 180 CZK. They have 24 backpacks with a total value of CZK 4,120. How many blue and red backpacks do they have?
- Trapezoid: 18703
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle.
- Speedometer 18693
The Macháček family went on a 3-day trip to Třeboň. They didn't want to get too tired but wanted to see a lot. Therefore, they drove at a walking pace, and at the end of the 3rd day, they measured 90 km on the speedometer. On the second day, they traveled
- Successively 18673
Vašek likes to go to the forest to pick mushrooms. He collected them successively for 3 days. Day 1 found seven less than Day 3. On the second day, he collected eight more than on the third day. He collected a total of 79 mushrooms. How much did he collec
- Thirty-five 18643
Thirty-five people took part in the business trip. They paid a total of €246. The journey price for employees was €6 and for a family member, €9. How many employees were on tour? I will also ask for the procedure.
- Determine 18613
A number twice less than y is 12 less than y. Determine the size of the number y.
- Tickets 18603
The cashier at the cinema sells tickets for 50 CZK and 40 CZK. He has sold 143 tickets and earned a total of CZK 6,340. How many tickets did he sell?
- Collected 18593
Adults and children, a total of 40 people, took part in the ski trip. The tour price was 140 CZK for adults and 60 CZK for children. A total of CZK 3,200 was collected. How many children and how many adults took part in the tour?
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