Basic operations and concepts - math word problems - page 27 of 322

Number of problems found: 6435

A random 2
A random sample of 40 families has an average water consumption of 29 cubic meters per month, with a sample standard deviation of 8 cubic meters. Give the 90% confidence interval for the mean usage of water per month.
The mixture
If a 6-liter solution with a concentration of 20% alcohol is mixed with a 4-liter solution with a 60% concentration of alcohol. Find the percentage of alcohol in the mixture.
Two masons
Mason A can build a wall in 30 days, while mason B can build it in 40 days. If they build it together and get a payment of USD 7000, what is B's share?
A piece of work
12 men or 18 women can do a piece of work in 14 days, then how long 8 men and 16 women take to finish the work?
Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect?
A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people?
Goalkeeper - success rate
Calculate the success rate of a hockey goalie who saved 30 out of 32 shots at his goal during a match.
Meat 5
2.4 kg of meat costs 292 CZK in the store. How much meat of the same type can I buy here for 2482 CZK?
Branded
Branded sneakers are now selling for 2394 CZK. The seller reduced the original price by 5%. He reduced the new price by another 10%. What was the original price? How much was the total discount? How much of the original price is 21% VAT?
Gross
The gross weight of meat in grams is 83. What is the gross weight of meat increased by 30% in grams? How is it calculated?
Worker 8
The worker has a work standard of 15 products in 8 hours, he produced them in 6.5 hours. By what % did he fulfill the plan?
Peter 28
Peter bought shares of a foreign company for a total of €3,000. Today their value is 50% lower. By how much percent must the price of these shares increase from today for their total value to return to the original €3,000?
Books 4
A student read 30 pages in 6 days. He read 75 pages in x days. Calculate x.
Teeth
An adult has a total of 32 permanent teeth. How many of them are molars if 1/4 of the teeth are incisors, another quarter are molars and the remaining quarter are canines?
Fuel and oil ratio 2T
Add 4 liters of gasoline with oil in a ratio of 33:1. How much oil is needed?
Products - defective
Among 125 products, 56 were defective. What percent of products are without defects?
Cookies - price
The price of cookies was increased from 16 crowns to 17 crowns. By what percent did the price of cookies increase?
February sales
The company earned only four-fifths of what it earned in January in February. How many percent more did the company earn in January than in February?
Originally 84156
The pants cost 9.90 euros, which is 90% of the original price. How much did the pants cost originally?
Detergent - dilution
The detergent is diluted in a ratio of 1:200. How much detergent do we need if we use 5 liters of water?

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