System of equations - math word problems - page 68 of 107
Number of problems found: 2125
- Eva and
Eva and Jana have a total of 560 CZK. Eva has a third more than Jana. How much CZK does each have?
- The train
The train passed the observer in the 20s and passed through a 1500m tunnel in 2 minutes. Calculate the speed (km/h) and train length.
- Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC.
- Geometric 5895
A2 + a3 = -6 a1 + a2 + a3 + a4 = 20 Geometric sequence q, a1?
- The parallelogram
The circumference of the parallelogram is 79.5 m, and its shorter side is half the longer side. What is the length of which side of the parallelogram?
- Advantage 5885
Boris and Braňo were on vacation by the sea with their parents. The stay cost the whole family 2170 euros. The trip price for a child was 115 euros lower than an adult's. Both boys took advantage of this discount this year. What was the price of the tour
- Different 5874
Mišo and Rišo ran back and forth on the running track. They started towards each other, each from a different end of the track. Both were still running at the same speed, each at a different speed. The first time, they met 800 m from one end of the track,
- Michaell 5871
Michaell and Erika saved € 30. Erika saved five times more than Michaell. How much did Erika save?
- Difference 5867
Calculate the value of the first term and the difference in the arithmetic sequence a1 + a7 = 42 a10-a3 = 21
- President's 5862
For the opening ball of the season, the president's wife bought a necklace with a bracelet for 768 euros. How much did the necklace cost, and how much did the bracelet cost if the bracelet was 40% off a) cheaper, b) more expensive than the necklace?
- Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle?
- Daffodils 5846
There are 20 more tulips than daffodils in the garden. How many tulips bloom in the garden when there are 70 flowers?
- Three workshops
2743 people are working in three workshops. In the second workshop, 140 people were more than in the first, and in the third work, 4.2 times more than in the second. How many people work in each workshop?
- Grandmother
Michael's grandmother raises chickens and rabbits. Michael calculated that they have a total of 20 heads and 64 legs. How many animals does Grandma keep?
- Expressway 5837
The expressway covers the distance from the starting point to the final station in 4 hours and 20 minutes. A passenger train, whose average speed is 30 km/h less, will cover this distance in 7 h 40 min. What is the speed of the express train, and what is
- Mother and son
The mother is four times older than her son. In 16 years, the son will be two times younger than his mother. How many years are mother and son?
- Branches 5825
Parrots, a few of them flew around and sat down anyway. 3 on the dog's back. There are 29 parrots. There were 9 more sitting than flying. 6 more sat on the branches than on the grass. How many parrots were still flying? How many were sitting on the branch
- According 5819
According to the sowing plan, sugar beet and grain are to be sown on an area of 840 ha. The area sown with sugar beet should be three times larger than the area sown with grain. What area should the grain be on?
- Disassembled 5815
The children disassembled 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anina was the only one who did not take even 1 banana. How many children were on the trip?
- Tea mixture
Of the two sorts of tea for 180 CZK/kg and 240 CZK/kg, we make a mixture of 12 kg that we should prepare for 200 CZK / kg. How many kilos of each sort of tea will we need to be mixed?
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