Ratio - practice problems
Ratio problems are word problems that use ratios to relate the different items in the question. On solving problems and tasks proportionally, we recommend a hint rule of three. Rule of three (proportionality) helps solve examples of direct and inverse proportionality. Three members make it possible to calculate the fourth - unknown member. Ratio and proportion.Number of problems found: 1670
- Students to teachers
The ratio of students to teachers in a school is 19:1. In total, there are 380 students in the school. What is the number of teachers in the school according to the ratio? - Ratio of acid and water
In a mixture of 60 litres, the ratio of acid to water is 2:1. If the ratio of acid to water is to be changed to 1:2, how much water must be added? - A race 2
In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, by how many metres will C beat B? - Motorboat : current
The ratio of the speed of a motorboat to that of the current is 36:5. The motorboat travels downstream in 5 hours and 10 minutes. Find the time for the motorboat to return upstream. - Enlarged photo
A photograph has been enlarged by a scale factor of 1.75. If the enlarged photo has an area of 675 cm², what is the area of the original photo? - Cookies - flour
A recipe for cookies calls for 3 cups of flour to make 24 cookies. If you want to make 40 cookies using the same recipe, how many cups of flour will you need? - The ratio 22
The ratio of two numbers is 5:4 and their LCM is 800. Find the sum of the two numbers. - A,B and
A, B, and C invested capital in the ratio 1/3 : 1/4 : 1/5. After 4 months, A withdraws half of his capital. If the yearly profit is Rs 8,470, find A's share. - Velocity ratio 2
The ratio of the walking speeds of A and B is 2:3. If B takes 36 minutes to cover a certain distance, how long does it take A? - Three in a ratio If A is 40% more than B, and B is 20% less than C, find the ratio A:C.
- School - boys:girls
In a school, 10% of the boys is equal to 1/4 of the number of girls, and 10% of the number of girls is equal to 1/25 of the boys. Find the ratio of the number of boys to girls. - Compare ratios Are the ratios 4:7 and 16:19 equivalent?
- Alcohol mixture 3
A mixture contains alcohol and water in the ratio 4:3. If 7 litres of water are added, the ratio of alcohol to water becomes 3:4. Find the quantity of alcohol in the mixture. - A person 3
A person distributes his pens among four friends A, B, C, and D in the ratio 1/3 : 1/4 : 1/5 : 1/6. What is the minimum number of pens the person should have? - The Earth and Moon
The diameter of the Moon is approximately 1/4 of the diameter of the Earth. What fraction of the Earth's volume is the Moon's volume? - Salaries - ratio3 The salaries of A, B, and C are in the ratio 2:3:5. If their salaries are increased by 15%, 10%, and 20% respectively, what will be the new ratio of their salaries?
- Angle of inclination
Find the angle of inclination of a ramp that rises 80 cm over a horizontal length of 200 cm. - The ratio 21
The ratio of the number of sides of two regular polygons is 1:2 and the ratio of the sum of their interior angles is 2:3. Find the number of sides of each polygon. - The ages 3 The ages of A and B are in the ratio 5:4. Three years from now, the ratio of their ages will be 11:9. What is B's present age?
- The length 20
The length and width of a rectangular park are in the ratio 8:5. A path 1.5 m wide, running all around the outside of the park, has an area of 594 m². Find the dimensions of the park.
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