System of equations - math word problems - page 107 of 110
Number of problems found: 2182
- 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. - 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 84 km. On the second day, they traveled 7% more than the first day and on the third day 5 km over the second day. How many kilometers are traveled each day? - Trio
A trio of workers earns 770 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
84 laborers have been employed to plant trees in the forest. For 9 hour work a day, they would end job in 38 days. After 18 days, 6 laborers leave. How many days are needed to complete planting trees in nurseries by others if they work 12 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 725 cm², and if sides are in a ratio a: b: c = 9:19:11 - Null points
Calculate the roots of the equation: -1 |x +7| +1 |x +4| -2 |x -6| = 63 - Team
The football team has 11 players. Their average age is 19 years. During the match, one player withdraws due to injury, and the team's average age is 16. How old was the injured player? - Truck
The truck went for 4 hours and 51 minutes. If the truck increases its speed by 23 km/h, it will go the same distance in 2 hours. Calculate this distance. - Sequence
The arithmetic sequence is given: Sn=1656, d=6, an=138 Calculate a1 and n. - Store
2.1 EUR discounted one meter of the textile. Now, 10 m of textile costs the same as 8 m. Calculate the old and new prices of 1 m of textile. - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Coffee
In stock are three kinds of branded coffee with prices: I. Kind. .. .. .256 Kc/kg II. Kind. .. .. .341 Kc/kg III. Kind. .. .. 345 Kc/kg Mixing these three species in the ratio 2:3:9 creates a mixture. What will the price of 250 grams of this mixture be? - Solution
In 201 l, the red solution is 143 l in red color, and in 227 l, the blue solution is 112 l in blue color. How many l of red and blue l color solution must be mixed to get a mixture of 242 l to contain 121 l of color? - Warehouses
To four warehouses is going cement in 50 kg bags, from first one third to the second quarter of the total. The third store got two-thirds of the rest, and the last 120 tons came to fourth. How much cement is in all warehouses, and how much got everyone? - Two squares
Two squares with sides in the ratio 3:7 have a sum of their perimeters 58 cm. Calculate the sum of the area of these two squares.
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