Fractions + reason - practice problems - page 8 of 11
Number of problems found: 212
- 1st drug
The first drug pack has an active ingredient ratio of L1: L2 = 2:1 The second drug pack has a ratio of active ingredients L1: L2 = 1:3 Which ratio do we have to mix the two packages so that the ratio of substances L1: L2 = 1:2?
- Digit sum
How many are three-digit numbers that have a digit sum of 6?
- Bonus
The gross wage was 1323 USD, including the 25% bonus. How many USD were bonuses?
- Tractors
Six tractors started plowing the field, and work together took 12 days. Agronomist hesitates to: A) after two days, withdraw two tractors or B) after three days, withdraw three tractors. Help him which of these two cases will be plowing done sooner.
- Average 66794
Look for three numbers with an average of 2000. The middle number is 2000
- Two workers
Two workers together execute some work in 10 days. The first worker would have done it himself in 20 days. How many days would they have done himself a second worker?
- Competition 67314
The coach must choose two students from Sam, Jura, Emma, Dan, and Nika to go to the competition. He knows them well and knows that Samo will only go with Jura or Ema, and Dano will not go with Ema. How many pairs does the trainer have to choose from?
- Solutions 8481
For which integers x is the ratio (x + 11) / (x + 7) an integer? Find all solutions.
- Prospering students
There are 30 girls and 30 boys in the class. Boys are prospering 28, girls all. If all the prospering students are 95%, how many girls are in the class and how many boys are there?
- Five-sevenths 4789
Forty-two liters of water fill the barrel to two-thirds of its volume. If it is filled to five-sevenths of a volume, how many liters of water do we need to add?
- Minutes 6093
The tower clock delays only 55 minutes in an hour. It's noon, and the clock shows the exact time. What time will they show up after four hours?
- Arithmetic 64394
Karolína does not want to reveal at home what grades she will get on her report card. She said only this: "There will be 8 marks on the report card, their arithmetic mean is 2.125, the median is 2, the mode is 1, and I will not have any 2's. How many four
- Potatoes 3346
2/5 q of potatoes were sold in the first hour, 5/6 q in the second hour, and 40 kg in the third hour. How many kilograms of potatoes were in total?
- Direct route
From two different places A and B, connected by a direct route, Adam (from city A) and Bohus (from city B) started at a constant speed. As Adam continued to go from A to B, Bohus turned around at the time of their meeting, and at the same speed, he return
- Pasture 79214
I need to find out the number of bulls in the third period. In the first period, 12 bulls grazed on 3 and 1/3 ha for 4 weeks. In the second period, 21 bulls graze on 10 ha for 9 weeks. How many bulls in the third period graze for 24ha and 18 weeks? The pa
- A license
A license plate has three letters followed by four numbers. Repeats are not allowed for the letters, but they are for the numbers. If they are issued at random, what is the probability that the three letters are in alphabetical order and the three number
- 2x cone
Circular cone height 84 cm was cut plane parallel with the base. The volume of these two small cones is the same. Calculate the height of the smaller cone.
- Probability 66424
There are 5 chocolate, 3 cottage cheese, and 2 apricot croissants in the bag. Croissants are randomly selected in bags. What is the probability of drawing 1 chocolate, 1 cheese, and 1 apricot croissant without returning?
- Participated 7448
In the survey, 2/3 of those who correctly answered the question were women. 4/5 of all respondents answered the question correctly. How many women answered correctly if a total of 900 respondents participated in the survey? What proportion of all responde
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