Podcast
Questions and Answers
Eric and Steven split a restaurant bill of £32.75 in the ratio 3:2. How much did Eric pay?
Eric and Steven split a restaurant bill of £32.75 in the ratio 3:2. How much did Eric pay?
- £13.10
- £16.38
- £21.83
- £19.65 (correct)
A painter needs 20 liters of purple paint, made by mixing blue and red in a 4:3 ratio. How many liters of red paint are needed?
A painter needs 20 liters of purple paint, made by mixing blue and red in a 4:3 ratio. How many liters of red paint are needed?
- 8.57 liters (correct)
- 10 liters
- 13.33 liters
- 11.43 liters
In a high school of 720 pupils, the ratio of boys to girls is 4:5. How many girls are in the school?
In a high school of 720 pupils, the ratio of boys to girls is 4:5. How many girls are in the school?
- 420
- 320
- 400 (correct)
- 360
A packet of 48 sweets is split in the ratio 5:3, green to red. How many green sweets are there?
A packet of 48 sweets is split in the ratio 5:3, green to red. How many green sweets are there?
In a box of 80 tomatoes, the ratio of ripe to unripe is 3:1. How many tomatoes are unripe?
In a box of 80 tomatoes, the ratio of ripe to unripe is 3:1. How many tomatoes are unripe?
A survey of 500 gamers showed a preference for Playstation over Xbox in the ratio 5:3. How many gamers preferred Xbox?
A survey of 500 gamers showed a preference for Playstation over Xbox in the ratio 5:3. How many gamers preferred Xbox?
On a school trip of 32 pupils, the ratio of girls to boys is 5:3. How many boys went on the trip?
On a school trip of 32 pupils, the ratio of girls to boys is 5:3. How many boys went on the trip?
In a Science test taken by 18 pupils, the ratio of passes to fails was 7:2. How many pupils passed the test?
In a Science test taken by 18 pupils, the ratio of passes to fails was 7:2. How many pupils passed the test?
Janet and Maureen split prize money of £45 in the ratio 3:2. How much did Janet receive?
Janet and Maureen split prize money of £45 in the ratio 3:2. How much did Janet receive?
In Chemistry, 217g of a compound is formed by mixing Carbon and Magnesium in the ratio 4:3. How much Carbon is needed?
In Chemistry, 217g of a compound is formed by mixing Carbon and Magnesium in the ratio 4:3. How much Carbon is needed?
408 people were asked if they preferred tea or coffee. The ratio who chose tea to coffee was 6:11. How many people chose tea?
408 people were asked if they preferred tea or coffee. The ratio who chose tea to coffee was 6:11. How many people chose tea?
To make diluting juice, concentrate is mixed with water in the ratio 2:7. If Jamie needs 70 liters of juice, how much concentrate does he need?
To make diluting juice, concentrate is mixed with water in the ratio 2:7. If Jamie needs 70 liters of juice, how much concentrate does he need?
A triathlon event splits cycling, running, and swimming in a ratio of 5:2:1. If the total distance is 62.4km, what is the cycling distance?
A triathlon event splits cycling, running, and swimming in a ratio of 5:2:1. If the total distance is 62.4km, what is the cycling distance?
A triathlon event splits cycling, running, and swimming in a ratio of 5:2:1. If the total distance is 62.4km, what is the swimming distance?
A triathlon event splits cycling, running, and swimming in a ratio of 5:2:1. If the total distance is 62.4km, what is the swimming distance?
Eric took 1 hour 30 minutes to complete the cycling stage of a triathlon. If the cycling distance was 39 km, what was his average cycling speed?
Eric took 1 hour 30 minutes to complete the cycling stage of a triathlon. If the cycling distance was 39 km, what was his average cycling speed?
Sally completed the swimming section of a triathlon with an average speed of 6.24 km/h. If the swimming distance was 7.8 km, how long did Sally take to complete the swim?
Sally completed the swimming section of a triathlon with an average speed of 6.24 km/h. If the swimming distance was 7.8 km, how long did Sally take to complete the swim?
A recipe requires mixing two liquids in the ratio of 5:2. If you only have 10 ml of the second liquid, what is the maximum amount of the first liquid you can use while maintaining the correct ratio?
A recipe requires mixing two liquids in the ratio of 5:2. If you only have 10 ml of the second liquid, what is the maximum amount of the first liquid you can use while maintaining the correct ratio?
A map uses a scale where 1 cm represents 25 km. Two cities are 3.5 cm apart on the map. What is the actual distance between the cities?
A map uses a scale where 1 cm represents 25 km. Two cities are 3.5 cm apart on the map. What is the actual distance between the cities?
A company's profits are divided among three partners in the ratio 4:3:2. If the total profit is $90,000, how much does the partner with the smallest share receive?
A company's profits are divided among three partners in the ratio 4:3:2. If the total profit is $90,000, how much does the partner with the smallest share receive?
Flashcards
Proportional Division
Proportional Division
Splitting a total quantity into parts according to a given ratio.
How to perform proportional division
How to perform proportional division
Divide the total amount by the sum of the ratio, then multiply by individual ratios.
Eric and Steven split a £32.75 bill in the ratio 3:2. How much does each pay?
Eric and Steven split a £32.75 bill in the ratio 3:2. How much does each pay?
Eric pays £19.65, Steven pays £13.10
A painter needs 20 litres of purple paint mixed in the ratio 4:3 (blue:red). How much of each is needed?
A painter needs 20 litres of purple paint mixed in the ratio 4:3 (blue:red). How much of each is needed?
Signup and view all the flashcards
A school of 720 pupils has a boy to girl ratio of 4:5. How many boys and girls are there?
A school of 720 pupils has a boy to girl ratio of 4:5. How many boys and girls are there?
Signup and view all the flashcards
A packet of 48 sweets is split in the ratio 5:3 (green:red). How many of each sweet are there?
A packet of 48 sweets is split in the ratio 5:3 (green:red). How many of each sweet are there?
Signup and view all the flashcards
In a box of 80 tomatoes, the ratio of ripe to unripe is 3:1. How many ripe tomatoes are there?
In a box of 80 tomatoes, the ratio of ripe to unripe is 3:1. How many ripe tomatoes are there?
Signup and view all the flashcards
A survey of 500 gamers favored Playstation over Xbox in a ratio of 5:3. How many chose each console?
A survey of 500 gamers favored Playstation over Xbox in a ratio of 5:3. How many chose each console?
Signup and view all the flashcards
Out of 32 pupils, the ratio of girls to boys is 5:3. How many girls went?
Out of 32 pupils, the ratio of girls to boys is 5:3. How many girls went?
Signup and view all the flashcards
In a science test sat by 18 pupils, the ratio of passes to fails was 7:2. How many people passed?
In a science test sat by 18 pupils, the ratio of passes to fails was 7:2. How many people passed?
Signup and view all the flashcards
Janet and Maureen split a £45 prize in the ratio 3:2. How much does each get?
Janet and Maureen split a £45 prize in the ratio 3:2. How much does each get?
Signup and view all the flashcards
217g of a compound is formed by mixing Carbon and Magnesium in the ratio 4:3. How much of each element is needed?
217g of a compound is formed by mixing Carbon and Magnesium in the ratio 4:3. How much of each element is needed?
Signup and view all the flashcards
Out of 408 people, the ratio who chose tea to coffee was 6:11. How many chose coffee?
Out of 408 people, the ratio who chose tea to coffee was 6:11. How many chose coffee?
Signup and view all the flashcards
Concentrate is mixed with water in the ratio 2:7. Jamie needs 70 litres. How much concentrate?
Concentrate is mixed with water in the ratio 2:7. Jamie needs 70 litres. How much concentrate?
Signup and view all the flashcards
Distances in a triathlon (cycling, running, swimming) are split in the ratio 5:2:1, totalling 62.4km. Find each distance, Eric's cycling speed, and Sally's swim time.
Distances in a triathlon (cycling, running, swimming) are split in the ratio 5:2:1, totalling 62.4km. Find each distance, Eric's cycling speed, and Sally's swim time.
Signup and view all the flashcards
Study Notes
Proportional Division
- Eric and Steven split a £32.75 restaurant bill in a 3:2 ratio; Eric pays £19.65, Steven pays £13.10.
- To create 20 litres of purple paint with a 4:3 blue to red ratio, a painter needs approximately 11.43 litres of blue paint and 8.57 litres of red paint.
- In a high school of 720 pupils with a boy to girl ratio of 4:5, there are 320 boys and 400 girls.
- A packet of 48 sweets split in a 5:3 green to red ratio contains 30 green sweets and 18 red sweets.
- In a box of 80 tomatoes with a ripe to unripe ratio of 3:1, there are 60 ripe tomatoes.
- In a survey of 500 gamers, the results favored Playstation over Xbox in a 5:3 ratio, with 312.5 people choosing Playstation and 187.5 choosing Xbox.
- Of 32 pupils on a school trip with a girl to boy ratio of 5:3, 20 are girls.
- In a Science test sat by 18 pupils, the ratio of passes to fails was 7:2, meaning 14 people passed the test.
- Janet and Maureen split a £45 prize in a 3:2 ratio; Janet receives £27, and Maureen receives £18.
- To form 217g of a compound using Carbon and Magnesium in a 4:3 ratio, 124g of Carbon and 93g of Magnesium are needed.
- Out of 408 people asked about their preference for tea or coffee, with a tea to coffee ratio of 6:11, 264 people chose coffee.
- To make juice with a concentrate to water ratio of 2:7, requiring 70 litres of juice:
- 15.56 litres of concentrate are needed.
- 16 bottles of concentrate will be needed.
- A triathlon event consists of cycling, running, and swimming heats in a 5:2:1 distance ratio, with a total distance of 62.4km:
- Cycling distance: 39km.
- Running distance: 15.6km.
- Swimming distance: 7.8km.
- If Eric completes the cycling stage in 1hr 30mins his average cycling speed was 26km/h.
- If Sally completes the swimming section at an average speed of 6.24km/h, it took her 1hr 15mins.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
