Algebra - math word problems - page 280 of 312
Number of problems found: 6224
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in - Loan Repayment with Interest
Calculate how long it will take the Šetrný family to repay the loan if, after the first year, they paid €1350 in interest and the loan's interest rate was 6% p.a. They will repay the loan to the bank for €3,000 each year, and the bank will only add intere - Adela number
Adela had two numbers written on the paper. When she added their greatest common divisor and least common multiple, she was given four different numbers less than 100. She was amazed that if she divided the largest of these four numbers by the least, she - Bus vs. train
The bus started from point A 15 minutes before the train started from the same place. The bus went at an average speed of 45 km/h, train at 54 km/h. To point B train and bus arrived simultaneously. Calculate the train journey time if the train and bus tra - Before yesterday
The merchant adds a sale sign in his shop window to the pair of shoes shown in the morning: "Today by p% cheaper than yesterday. " After a while, however, he decided that the sign saying: "Today 62.5% cheaper than the day before yesterday". Determine the - Five-digit number
Anna thinks of a five-digit number not divisible by three or four. If he increments each digit by one, it gets a five-digit number divisible by three. If he reduces each digit by one, he gets a five-digit number divisible by four. If it swaps any two digi - Loan debt
We borrowed CZK 150,000 at a monthly interest rate of 2%. Interest is added at the end of each month, and we immediately pay an installment of CZK 30,000. How much will we owe in five months? - Bank withdrawal time
We will deposit € 10,500 at the bank at 1.1% interest, and we want to withdraw € 11,000. How many years do we have to wait? Round to 2 decimal places. - Cyclist distance calculation
The cyclist rode 44 km and 400 m in three days. In the first hour, he covered the course 5% longer than in the second hour, and in the third hour, he covered 1 km more than in the first hour. How many km did he travel in the third hour? - Two companies
The family ordered two companies to modify the garden. The first would be done in 20 days; the second would take 40% less time. How long will they work together if the second company started working when the first worked for four days? - Z7–I–1 MO 2018
A single digit different from zero is written on each of three cards (the digits on different cards are not necessarily different). We know that any three-digit number formed from these cards is divisible by six. Moreover, a three-digit number divisible b - Two workers
Two workers should fulfill specific tasks together for five days. If the first worker increased their performance twice and the second twice fell, it took them just four days. For how many days would he handle the entire task, the first worker himself? - Compound interest
Compound interest: Clara deposited CZK 100,000 in the bank with an annual interest rate of 1.5%. Both money and interest remain deposited in the bank. How many CZK will be in the bank after three years? - Alcohol mixture
We have to produce 0.2 kg of 60% alcohol from 55% and 80% alcohol. How many of them do we use in the solution? - Millionaire
Mr. Smith has withdrawn from the bank, saving interest € 1,500. How big was his initial deposit if the annual interest rate was 1.5%? - Trolleybus
Trolleybus line No. 215 is 30 km long. If the trolleybus travels 4 km/h faster, the round trip would be 39 minutes shorter. Calculate the trolleybus's speed and the time for a round trip. - Bread apple carbohydrate
Bread contains an average of 52% carbohydrates, and apples have 12% carbohydrates. How many apples weighing 220 g would you have to eat to get as much carbohydrate as 150 g of bread? - Cake ratio
On the tray, they had apricot and plum cakes in a ratio of 3:2. After eating three apricot pies, the chance of taking out a plum and apricot was the same. How many cakes were there together on the tray at the beginning? - Red balls
The bag has three red, 12 blue, and eight green balls. If we want the probability of pulling out the red balls to be 20%, how many red balls must we add to the bag? - The king
The king divided ducats among his sons. He gave the eldest son a certain number of ducats, gave the younger one ducat less, gave the other one ducat less, and proceeded to the youngest. Then he returned to his eldest son, gave him one ducat less than a wh
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