System of equations - math word problems - page 36 of 107
Number of problems found: 2125
- Brothers 29471
The two brothers are 41 years old. One is seven years older than the other. How old is your younger brother? - Inhabitants 29451
480 people live in the village of Grandmother. There are seven times fewer blue-eyed people than people with different eye colors. How many inhabitants of the village are blue-eyed? - Grapes harvesting
The foreman harvested grapes for three days, a total of 2,510 kg. On the second day, they peeled 480 kilograms less than the first day, the third day, and 25% more than the first day. How many kilograms of grapes did the part-timers pick the second day? - Two teas
The tea shop made a mixture weighing 10 kg from two types of tea. The price of the tea was 160 CZK/kg, and the second tea was 170 CZK/kg. The cost of the mixture is 166 CZK/kg. How many kilograms of each type of tea had to be mixed? - Holidays 29331
During the holidays, the seller earned € 21,060. He earned 40% more on Saturday than on Friday. He earned € 2,500 less on Sunday than on Saturday. How many euros did the seller make on Saturday? - When I When I am as old as my older brother is today, my brother will be twice as old as I am today. a) How old is my brother if I am 8 years old today? b) How old am I if my brother is 21 today?
- Part-time workers
Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
- Reservoirs 29051
The three water reservoirs hold a total of 130 liters. Determine their volumes in m³. If the first fits 15 liters less than the second and 20 liters less than the third. - Kindergartens 29031
We bought 50 kindergartens of two types for the kindergarten - milk for 16 CZK per piece and hazelnuts for 11 CZK per piece. We paid a total of CZK 700. How many chocolates were there? - Collected 28941
The boys from the science club collected 150 kg of chestnuts in three days for the winter feeding of forest animals. On Monday, they collected 10 kg more than on Tuesday. On Wednesday, after school, they picked two-thirds of the weight of chestnuts they p - Pine
At the beginning of the month, there was four times more pine lumber in the warehouse than spruce. 512 cubic meters of pine lumber and 62 cubic meters of spruce lumber were processed during the month. At the end of the month, the same amount of both types - Dimensions of the trapezoid
One of the trapezoid bases is one-fifth larger than its height, and the second base is 1 cm larger than its height. Find the dimensions of the trapezoid if its area is 115 cm2 - Forty-eight 28891
Forty-eight people took part in the tour. Among them were men, women, and children. There were four more women than men and six fewer children than half of the adults. How many men, women, and children took part in the tour? - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3] - Equation of the circle
Find the equation of the circle inscribed in the rhombus ABCD where A[1, -2], B[8, -3], and C[9, 4].
- Train delay
Due to a breakdown, the train spent 16 minutes standing on the track behind Brno. He "eliminated" this delay, so after the start, the 80 km-long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed to - Sow barley
Farmers wanted to sow barley within 13 days. Due to the excellent weather, they exceeded the daily plan of sowing by 2 ha and, therefore, finished sowing grain in 12 days. How many hectares of land did they sow with barley? - Manufacturing 28591
A furniture manufacturing company consumes 124 cubic meters of spruce and oak lumber per month. Spruce lumber consumes three times more than oak lumber. How much spruce and oak lumber does the company use per month? - Triple and quadruple rooms
Up to 48 rooms, some of which were triple and some quadruple, accommodated 173 people, so all beds were occupied. How many triple and how many quadruple rooms were there? - Individual 28401
In the first and second years, there are 58 pupils in a pile. In the first and third years, there are 57 pupils. In the second and third years, there are 59 pupils. How many students are there: a) In all of them, to the dromedary, b) In individual classes
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