System of equations + direct relationship - practice problems - last page
Number of problems found: 38
- Numbers at ratio
The two numbers are in a ratio of 3:2. If we each increase by five would be at a ratio of 4:3. What is the sum of the original numbers? - Together 2780
Vlasta, Zuzka, and Vierka shared the reward in the ratio of 2:8:5. Zuzka and Vierka had 160 euros together. How old was Vlasta? - 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. - Workers
Ten workers must pave road street for 22 working days. After four days were for speeding up work, added two more workers. a) After how many work days now workers complete the paved road? b) How many working days does a total paved road take? - Product V2
The price of the product was increased by 12%. Price increased by 273. How much money would this product cost if it was, on the contrary, by 19% discounted? - Hockey teams goals
Hockey teams fired 200 goals. The second team was 13 less than the first team, the third 16 less than the first, and the fourth team had 19 goals less than the first. How many goals fired each team? - Ratio three numbers
Three numbers SUV are in the ratio 2:3:4. Their sum is 90. Find these numbers and write their add and sum. - Division
Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 6:1:4. How many candies should each get if in the bag were 88? - Forestry workers
56 laborers have employed planted trees in the forest. For 8 hour work, a day would end job in 37 days. After 16 days, 9 laborers go forth? How many days are needed to complete planting trees in nurseries by others if they work 10 hours a day? - Excavation
Mr. Vendelín calculated that excavation for a water connection digs for 10 days. His friend would take 10 days. Vendelín worked 3 days alone. Then his friend came to help and started on the other end. On what day since the beginning of the excavation they - Coffee
In-stock are three kinds of branded coffee prices: I. Kind. .. .. .205 Kc/kg II. Kind. .. .. .274 Kc/kg III. Kind. .. .. 168 Kc/kg Mixing these three species in the ratio 8:5:6 create a mixture. What will be the price of 100 grams of this mixture? - Two squares
Two squares with sides in the ratio 5:2 have a sum of their perimeters 73 cm. Calculate the sum of the area of these two squares. - Car factory
The carmaker now produces 2 cars a day more than last year, so the production of 70312 cars will save just one full working day. How many working days were needed to manufacture 70312 cars last year? - Freedom
In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Gear
Two gears fit into each other and have a transfer of 2:3. Centers of gears are spaced 82 cm. What are the radii of the gears? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Function
For linear function f(x) = ax + b is f(10)=192; f(16)=170. Calculate m, if f(m) = 2008. - Ratio
6 numbers are in the ratio 1:5:1:5:5:5. Their sum is 242. What are the numbers?
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