Equations practice problems - page 105 of 240
Number of problems found: 4793
- Machine 18483
Coins worth 20 cents and 50 cents are thrown into a coffee machine. There are 199 coins in the machine with a total value of € 68. How many are 20-cent coins in the machine? - Fifteen 18403
Fifteen ants bring 10 g of food to the anthill in 1 hour. In how many hours will five ants carry 1 kg of food? - Equation - words
Determine the unknown number for which it applies: whose four times increased by the number 3 equals its double. - Vector equation
Let's v = (1, 2, 1), u = (0, -1, 3) and w = (1, 0, 7). Solve the vector equation c1 v + c2 u + c3 w = 0 for variables c1, c2, c3 and decide whether v, u, and w are linear dependent or independent - Nutballs
The dough for nutballs contains, among other things, two basic raw materials: flour and nuts, in a ratio of 2:1. How much flour is needed, and how many nuts are needed for 1 kg of dough if the "other" is 100g? - Ducats
The king divided the ducats into his three sons in a ratio of 2:5:4. How many ducats did the king divide them if the youngest received 260 ducats, the least of all sons? - Approximately 18133
Mr. Kotek drove from Brno to Prague at 11 a.m. at a speed of 80 km/h. His friend drove from Prague to Brno half an hour later at a speed of 85 km/h. Which of them will be closer to Prague when they meet? The distance between the cities is approximately 21 - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - Consecutive 18083 The sum of five consecutive even numbers is 40. Find these numbers.
- Grandfather 17981
Today, my grandfather is four times older than his grandson. Two years ago, my grandfather was six years younger than five times his grandson's age. How old is your grandson today? - Heavy-duty 17941
The railroad workers carried five loads with five heavy trains than ten standard trains. What is the weight of a heavy-duty train if it is 2,200 t heavier than a standard train? - Double-performance 17931
Excavation work was carried out by nine double-performance machines, which excavated 420 meters of excavation in one day. How many were there if the more powerful machine excavated 420 meters in a week (7 days) and the less powerful engine excavated 280 m - Determine 17901
Determine the product's original price, which, after an increase of 20%, costs 90 CZK. - Purchased 17851
The school purchased 80 flower pots with a total value of CZK 2,832. Smaller flower pots were 32 CZK each, larger 40 CZK. How many were there? - Simultaneously 17821
The reservoir is filled with the first pump in 30 hours, the second in 24 hours, and the third in 20 hours. How long does it take to fill the reservoir if all pumps are switched on simultaneously? - Increased 17813
The price of one meter of fabric increased by CZK 40, so three meters for the new fee were CZK 60 cheaper than four meters for the original price. What was the original, and what was the new cost of the substance? - Fourth-week 17783
They earned CZK 113,400 in the shop in four weeks. The first and fourth-week sales were the same, the second week 10% higher than the first week and the third week 5% lower than the first week. How much did they earn each week? - Tourist cottage
The tourist cottage has 11 rooms for 16 guests. Some of them are doubles, some singles. How many are double rooms and how many are single rooms? - One-fifth 17753
The store stacked two hundred boxes of washing powder in three piles. There were 13 more boxes in the first pile than in the second pile, one-fifth more in the second pile than in the third pile. How many boxes were in which pile? - Expensive 17743
The street vendor offered 60 shirts of two types at a total price of CZK 27,300. Cheaper shirts cost 420 CZK, more expensive 480 CZK. How many were there?
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