Algebra + direct relationship - practice problems
Number of problems found: 129
- Three chefs
Let's say you have 3 Chefs that have made 14 cakes in 8 hours. Assuming they are working at the same efficiency, how many hours does it take 10 Chefs to bake 24 cakes? (Rounded to the nearest hour) - Gasoline 15
A car consumes 8 liters of gasoline for 20km. How far can it go for 36 liters? - A stock
A stock of food is enough to feed 50 people for 14 days. How many days will the food last if 20 more people are added? - Plastering 6132
Three masons received 44,100 SK for plastering the house. This amount was divided according to the number of hours worked. The first received three times as much as the second, and the second received half as much as the third. Determine in what gradual r
- Children's 6140
The store received a total of 666 pairs of children's, men's and women's shoes. Men were 2.5 times less than children, while children were 1.4 times more than women. Express in whole numbers the ratio of the number of pairs of children's, men's, and women - Construction 82214
At the construction site, the sand that belongs to the mortar is sifted through a sieve. At the same time, 1/6 of the coarse sand falls through. Determine how many m³ of sand must be brought in to obtain 2 m³ of sifted sand. - Three friends
Three friends divided the profit by 104,650 CZK, so that for every 4 CZK, which got the first friend equals five crowns for the second, and for every 9 CZK, which got the second equals 16 CZK for the third. Question: Who got the most and how much? - Brigade
On a weekly forest, the summer job operates 12 students. After planting one hundred spruces, get x CZK. After one hundred pines y CZK. How many CZK got one student for one day if planted spruces are 25000 and 30000 pines per week? - Remuneration 2741
The three workers were to share the remuneration of 410 euros according to their performance in working together. Thus: A: B = 4:3 and B: C = 5:2. Advise them on how to distribute the reward fairly.
- Purchased 4522
Ten friends decided to go hiking. They bought food supplies for 9 days. Before starting hiking, 4 boys fell ill. How many days can the boys extend their stay if they take the purchased food supply? - Hour salary + fix
Devin recently hired a contractor to do some necessary work. The contractor quoted $395 for parts plus $62 an hour for labor. Let x represent the number of labor hours worked. Write an algebraic expression to represent the total cost of the repairs. - Working time - shortening
The media often speculates about the change (especially to shorten) the working time of the five-day, eight-hour working week to another working model. Calculate how many hours the employee would have to work a day at 3-day work week if he must work the s - Determine 3033
Andrej, Michal, Patrik, and Juraj together weigh 128 kg. Their weights are in the ratio 1: 6: 7: 2. Determine what weight each of them has. - Four-fifths 2764
There were 60 people at the rink, four-fifths of which were children under 15 years of age. A ticket for children under 15 costs €1 and for adults €2. a) How many children were there at the rink? b) How many adults were there? c) How many euros did they c
- Kilogram 24921
Dahlia cooks with her mother apple slices. They mixed flour, sugar, and butter in a ratio of 10: 3: 2. How many grams of sugar and butter did they put in half a kilogram of flour? - Nectar
Nectar collected by bees contains 70% water. The nectar of the same process produces honey which has 19% water. How many kilograms of nectar do bees need to collect to make 1 kg of honey? - Consumption 18743
With the consumption of 0.4 t of coal per day, the supply lasts for 36 days. How many days will the supply be enough if 16 kg of coal is used less daily? - Sugar production
From 1 ton of beet, 150 kg of sugar is produced. 450 kg of lime is consumed to clean 1 ton of sugar. Calculate how many kgs of lime are consumed when processing 1 ton of sugar beet. - Dalibor 3744
Milan and Dalibor have a total of 25 euros. Their amounts are in the ratio of 2:3. How many euros would Milan have to give to Dalibor so their payments were 1:4?
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Algebra - practice problems. Direct relationship - practice problems.