Equation + system of equations - practice problems - page 68 of 70
Number of problems found: 1396
- Coffee
The coffee from the machine costs 28 cents per cup. Coffee is 20 cents more expensive than the cup. How much is the cup?
- Walkers
Two walkers simultaneously started against each other from places A and B. After the meeting, both continued to B. The Second walker came to B 2 hours before the first walker. Its speed is 2.7 times the speed of the first pedestrian. How many hours went p
- Waiting room
In the waiting room are people and flies. Together, they have 21 heads and 102 legs (fly has six legs). How many people and flies are in the waiting room?
- Addends
The number 681 is divided into two addends. The first was 9 greater than 60% of the second. Determine these addends.
- Workers
Two workers, A and B, will be done work together for 10 days. They worked together for 8 days. Then A worker became ill, and worker B finished the job alone for 6 days. If every worker worked alone, how many days did the whole work take for workers A and
- Suit
The suit cost 124 euros. How much cost the pants if it is 30% cheaper than the jacket?
- Balls
Michal told Martin: give me one ball, and I'll have twice as you. Martin said: Give me 4, and we will have equality. How many balls does each have?
- Train
A passenger train traveled for 2 hours 74 km. 3.1 hours after its departure started fast train and caught it on 186 km. How many km/h is different from its average speed?
- Homework
Together, the mother and Kate weigh 21.9 kg more than the father. The father weighs 8.1 kg more than the mother. The father weighs 40.2 kg more than Kate. Determine the weights of the father, mother, and Kate.
- Homework - jumps
Sasha jumped 131 cm Peter 4 cm more than Jirka. Jirka 6 cm less than Misha. Misha 7 cm less than Filip, and Filip is half as much as Sasha and Petr together. How far does each jump?
- Geometric sequence 3
In geometric sequence is a4 = 40; a9= 1280; sn=2555. Calculate the first item a1, quotient q, and n - number of members by their sum s_n.
- Paddlers
Students of canoeists traveled on a trip of three days 102 km. On the second day, they traveled 15% more than the first day and on the third day 9 km over the second day. How many kilometers are traveled each day?
- Trio
A trio of workers earns 750 euros. Money is divided by the work that each of them makes. The first received twice the second, and the second received three times more than the third. How many got everyone's workers?
- Hostel
Students are accommodated in 18 rooms. Rooms were 4 and 6 bed. How many rooms in which type occupied 92 children there?
- Circle
The circle touches two parallel lines, p, and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
- Product
The sum and the product of three integers are 6. Write the largest of them.
- Forestry workers
41 laborers have employed planted trees in the forest. For 7 hour work, a day would end job in 32 days. After 12 days, 7 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 8 hours a day?
- Circle
Write the equation of a circle that passes through the point [0,6] and touches the X-axis point [5,0]: (x-x_S)²+(y-y_S)²=r²
- Triangle ABC
Calculate the sides of the triangle ABC with an area of 1995 cm², and if sides are in a ratio a: b: c = 3:6:6
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