Reason + ratio - practice problems
Number of problems found: 134
- Republican 83136
In the republican calendar (used in France from 1793 to 1805), one full day was divided into 10 hours; each hour had 100 minutes, and each minute had 100 seconds. What time would the clock show at that time when today's clock reads 15:36? - Restaurant 81584
Four students were paying the bill in the restaurant. Jan paid 7 rums and 20 beers, Adam 20 rums and 7 beers, Víťa 12 rums and 25 beers, and Dan 25 rums and 12 beers. Jan paid 20% less than Adam. By how much % less did Víťa pay than Dan? - Thanks 81022
Pavla is 2x older than Irena. Four years ago, Pavla was 6 times older than Irena was then. In how many years will the ages of Pavla and Irena be in the ratio of 4:3? Thanks - Differences 80551
Bolek and Lolek each had their own arithmetic sequence. Both Lolek and Bolek's sequence started with the number 2023 and ended with the number 3023. The two sequences had 26 numbers in common. The ratio of Bolek's and Lolka's difference was 5:2. What is t - 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 - Originally 71464
The father originally wanted to divide the financial amount between his sons in the ratio of 7:6. However, he then split it at 6:5 (in the same order). One of the sons got angry that he should have received 120 euros more. How many euros did each son rece - Number 69614
The house has two floors. Men and women live on each floor in such a number that their ratio is 3:2 on each floor. Five more people live on the second floor than on the first floor. How many women live on the second floor? - Michalovci 69494
How many different courses could the match between AC Michalovci and Juvent Turiec have, which ended 2:1? - VAT example
The following data were provided by Halo Mango Delight, a VAT taxpayer, for October, November, and December 2021 (VAT excluded): Compute the Value added tax of the store for the 4th Quarter of 2021. (Show computation in solving the problem). VAT ratio = 1 - Three-digit 69114
How many three-digit numbers have a digit sum of 6? Write the ratio of the number of created even and odd numbers and adjust it to the basic form. - Transported 67924
On Thursday, 240 skiers had to be transported, and two buses took 30 minutes to do so. If there were 660 skiers on the piste and three buses were used, how long did the transport take on Saturday? - Conditions 66544
I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met. - Lengths of medians from coordinates
There is a triangle ABC: A [-6.6; 1.2], B [3.4; -5.6], C [2.8; 4.2]. Calculate the lengths of its medians. - Mushrooms
The ratio of dry matter and water is 1:9 for most mushrooms. Dry matter consists of carbohydrates, proteins, minerals, fat, and water in a ratio of 50:30:8:3:9. How many kilograms of fresh mushrooms need to be processed into a 10 kg package of dried mushr - A sum
A sum of money is shared between Peter, John, and Henry in the ratio 2:3:5. a) express Henry's share as a fraction of John's share. b) what fraction of the whole sum of money is John's share? - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes - Boys and girls 8
In a class of 35 boys and girls with a ratio of 2:5. 5 boys are absent, and five boys are present. How many students are present? - Passengers 45501
During the rescue of the sinking ship, the passengers were divided into three boats in a ratio of 3:4:5. There were 15 passengers in the first boat. How many passengers were rescued together? - Together
The three friends divided the balls in a ratio of 6:5:4. Some two got 126 balls. How many balls were there together? - Distribute 32451
The king cannot decide how to distribute 4 cubes of pure gold, which have edges of length 3cm, 4cm, 5cm, and 6cm, to two sons as fairly as possible. Design a solution so that the cubes do not have to be cut.
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