System of equations - math word problems - page 66 of 107
Number of problems found: 2125
- Two equations
Solve equations (use adding and subtracting of linear equations): -4x+11y=5 6x-11y=-5 - Sunflower 6230
Jana and Danka had a total of 125 sunflower seeds. When eating, Jana was smarter and ate 13 more seeds. They gave the last 6 seeds to the parrot. How many seeds did Jane eat, and how many did Dan eat? - Coordinates of the vertices
Calculate the coordinates of the vertices of a triangle if the equations of its sides are 7x-4y-1 = 0 x-2y + 7 = 0 2x + y + 4 = 0 - Calculate 6217
Calculate the larger of the two shields if you know that the smaller shield is a third of the larger one, and their sum is 48. - Three-liter 6204
We have to store seven cans of oil of 25 liters each in 45 cans, some of which are five liters and some three liters. How many three-liter cans and how many five-liter cans do we have? - Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - A bridge
The bridge over the river has the shape of an arc. The bridge is 10 feet above the water at the center of the river. At 27 feet from the river's edge, the bridge is 9 feet above the water. How wide is the river?
- Together 6187
Petr had 20% more savings than Jana, who saved half of what Markéta did. Together they saved CZK 2,520. How much CZK did each of them save? - Consecutive 6174
Find three consecutive integers whose sum is -693. - Two melons
There are two melons in the box. Together they weigh 11 kg. The weight of green is 3 kilograms lower than three times the weight of yellow. What is the weight of a green melon? - A candle
A candle shop sells scented candles for $16 each and unscented candles for $10 each. Today, the shop sells 28 candles and makes $400. a. Write a system of linear equations that represents the situation. b. Solve the system to answer the questions: How man - Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women - Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r - Father 7
The father is six times older than his son. After four years, the father will only be four times older. What are their present ages? - 12 apples
Twelve apples and two loaves of bread cost 5.76, and 6 apples and three loaves of bread cost 7.68. How much is a loaf of bread?
- Yellows 6118
Peter chose balls of two colors. The numbers of yellows and reds were in the ratio of 7:5, and the yellows were six more. How many did he have? - Addition 6113 Find the natural numbers x and y such that: 1/2 = x / y and in addition that: x + y = 6
- 13 tickets
A short and long sightseeing tour is possible at the castle. A ticket for a short sightseeing circuit costs CZK 60, for a long touring circuit costs CZK 100. So far, 13 tickets have been sold for 1140 CZK. How much did you pay for tickets for a short tour - Birthday 6092
Soňa and her aunt have a birthday, and her aunt is five times older than Soňa. When Soňa is a year younger than her aunt, her aunt will be eighty years old. How old is Sona now? - Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D.
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