Algebra - math word problems - page 282 of 312
Number of problems found: 6224
- Crown coins
Jane saves two-crown and five-crown coins. She has 32 coins in the cashier. How many two crowns and how many five crowns would she have if she saved 145 crowns? - Concentration - salt solution
We added 300 g of water to 400 g of salt solution, reducing the solution's concentration by 5%. How much water did the original solution contain, and what was its concentration? - Spirit
From 55% and 80% spirit, we would like to produce 0.2 kg of 60% spirit. How many of them must we use in a solution? - James
James is painting a fence. If he painted 16 planks per day instead of 14, he would finish one day earlier. How many planks does the fence have in total? - Automaker
A car manufacturer now produces 4 more cars per day than last year, meaning 360 cars can be produced in one fewer working day. How many working days were needed to produce 360 vehicles in the previous year? - Alloy
The first alloy is a mixture of two metals in the ratio 1:2; the second is a mixture of the same metals in the ratio 2:3. In what ratio must these two alloys be combined in the furnace to obtain a new alloy with a ratio of 17:27? (All three ratios refer t - Three groups
The company's employees are divided into three groups. The average salary of the first group, which includes 12% of the company's total number of employees, is CZK 40,000; in the second group, CZK 35,000; and in the third group, CZK 25,000. The average sa - Beer tapping
When checking compliance with the beer tapping, it was found that 60% of the offered beers were underfilled. The others were fine. Thus, instead of 0.5 l, the volume was 4.4 deciliters on average. What was the volume of one average underfilled beer? - Average mark
In the 6th class, the average half-year mark in physics was 1.7. At the end of the year, Matthew improved his grade from 2 to 1, Ivana from 3 to 2, and Elena from 4 to 2. Paul's grade worsened from 3 to 4. The average mark of the whole class thus improved - Team
The football team has 11 players. Their average age is 19 years. During the match, one player withdraws due to injury, and the team's average age is 16. How old was the injured player? - Energy saving
Three independent inventions were released, each saving 15%, 17%, and 16% of energy respectively. Some people assumed that using all three would save 15% + 17% + 16% = 48% of energy. Is this correct? What is the actual total percentage of energy saved by - Four digit codes
Given the digits 0-7. If repetition is not allowed, how many four-digit codes greater than 2000 and divisible by 4 are possible? - Investment of the year
At the beginning of the year, my father invested EUR 1,000 in the bank at an annual interest rate of 3%. How many euros will the bank credit him with the deposit after eight months? (compound interest - from financial mathematics) - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Hockey Player Average Age
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player? - Alcohol
How much 56% alcohol do we need to pour into 22 liters 78% alcohol to get p3% alcohol? How much 76% alcohol do we get? - Salt solution
The 50% salt solution must be diluted with distilled water to make 20 liters of 35% solution. How many liters of original solution and how many liters of water do we need? - Scout troop increase
Last year, there were 30 more boys than girls in our scout troop. This year, the number of children in the ward increased by 10%, while the number of boys increased by 5% and the number of girls increased by 20%. How many children do we have in the depart - Annual interest
If, after a year, at an annual interest rate of 3.8%, Mr. Slovak had 2,076 euros in his account, how many euros did he deposit in the bank? - Janka bank interest Dana and Jane deposited their money in the bank in an account with an interest rate of 2.9 percent pa. How many euros did Jane invest if she earned 4.64 euros in interest and Dana 29 cents less?
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