Percentages + system of equations - practice problems - page 3 of 13
Number of problems found: 243
- Casting alloy weight
The metal casting consisted of copper and zinc. If we remelted it with 3 kg of pure copper, we would get an alloy containing 80% copper. Instead, we remelted the casting with 3 kilograms of pure zinc, so the resulting alloy contained only 50% copper. Dete - Fire extinguisher weight
During the fire extinguishing exercise, 40% of the foam was sprayed from the foam fire extinguisher. The entire device weighed 7 kg, and after training, it dropped to 4.6 kg. What was the weight of the empty device? - Shooter hit probability
The shooter fired 100 times at a target. He had four times as many hits as misses. What was the probability of a hit in percent? - Apples
60% of first-quality apples were picked in the upper orchard, and 90% of first-quality apples were in the lower orchard. How many% of the first quality were achieved in total if the total harvest was 240 tons of apples and in the lower orchard, the harves - Children scooter price
Three children's scooters cost a total of 179 euros. The first was 18% more expensive than the second. The third was 20 euros more expensive than the second. Determine the price of the first scooter. - The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - Deposit
A total of $15,000 is deposited into two simple interest accounts. One account earns an annual interest rate of 6% and the other earns 7%. How much should be invested in each account so that the total interest earned is $970? - Siblings savings distribution
Three siblings saved a combined total of CZK 1,445. Adela saved 10% less than Martin, and David saved 10% more than Adela. How many crowns did each of them save? - Marble sharing ratio
Four boys shared 100 marbles. The second received 20% more than the first, the third received 20 more bullets than the first, and the fourth received 0.8 times more bullets than the first. How many marbles did each boy get? - Tourist route
Tourists covered 15% of their route on the first day and a fifth of the remainder on the second day. They still had 34 km left to go. How many kilometres did they travel on the second day? - Acid mixture
How many grams of 70% and 45% acid must be mixed to form 300 grams of 60% acid? - Four bicycles
In the department store, they sell bicycles for families with children. Women's bicycles are 10% more expensive than men's, and children's bikes are a third cheaper than women's. The family paid a total of CZK 31,030 for two children's, one man's, and one - Alcohol solutions We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of these will we use in the solution?
- Salt solution preparation Prepare 2 liters (kg) of a 3% salt solution in water.
- Participants
Of the 48 participants, six were women, fewer than men, and 24 were children, less than all adults. Calculate the percentage of all participants on the tour who are children. - Hydrogen peroxide solution
Prepare 250 g of a 30% solution of hydrogen peroxide in water. - Salicylic acid solution
Prepare 600 g of an 8% solution of salicylic acid. - Workshop production
Five hundred ninety pieces of clothing were to be sewn in the two branches of the tailor's workshop. However, 30% more were sewn in the first workshop and 10% more in the second. They sewed a total of 703 pieces. How many products were initially supposed - To the cinema 2
A cinema ticket costs 150 CZK for children and 200 CZK for adults. 100 tickets were sold for the film screening and the cashier collected 16,000 CZK. Calculate: a. How many children's tickets were sold? b. How much CZK was collected for adult tickets? c. - Clothes
CZK 2,400 cost clothes: a sweater 150% more than a T-shirt, trousers 2x more than a sweater, and a jacket as a sweater and trousers. What did the individual clothes cost?
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