System of equations - math word problems - page 34 of 103
Number of problems found: 2055
- 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 - 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 - Vector v4
Find the vector v4 perpendicular to the vectors v1 = (1, 1, 1, -1), v2 = (1, 1, -1, 1) and v3 = (0, 0, 1, 1) - Speeds 28051
A car will depart from place A at 1 PM at a speed of 72 km/h. At the same time, a truck speeds up 68 km/h from point B, which is 315 km away from point A. When and where will they meet? - Quarantine cupcakes
Mr. Honse was baking quarantine cupcakes. Mrs. Carr made twice as many as Mr. Honse. Ms. Sanchez made 12 cupcakes, more than Mr. Honse. Suppose they put all their cupcakes together (which they can't because. of quarantine!), they would have 108 cupcakes.
- Distance 27971
The distance between K & L is 150 km. At 8 AM, a car left place K at a speed of 40 km/h. At 9 AM, a second car drove towards him from location L at 75 km/h. At what time will they meet, and how far from L will it be? - 2 cyclists and car
One cyclist rides at a constant speed over a 100-meter-long bridge. When he is 40 meters behind, he meets an oncoming cyclist riding at the same speed. The car travels along the bridge in the same direction as the first cyclist at a speed of 70 km/h. He m - Lottery - eurocents
Tereza bets in the lottery and finally wins. She went to the booth to have the prize paid out. An elderly gentleman beside him wants to buy a newspaper but is missing five cents. Tereza is in a generous mood after the win, so she gives the man five cents - Traveling 27833
The truck drove at an average speed of 20 km/h and left Prague toward Liberec. At the same time, a bus left with him, traveling at an average speed of 30 km/h, and it arrived in Liberec 2 hours earlier than the truck. What is the distance between Prague a - Coins
The money - -coins are minted from the hardest bronze, which contains copper and tin in a ratio of 41:9. How much copper and tin are in 2kg of bronze money?
Before Christmas, Eva bought two cylindrical candles—red and green. Red was 1 cm longer than green. She lit a red candle on Christmas Day at 5:30 PM and a green candle at 7:00 PM, leaving them on fire until they burned. At 9:30 PM, both candles were the sDo you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.
