Question 1: A recipe requires ingredients in the ratio 3:2:5. If the total amount of ingredients used is 50 grams, how much of each ingredient is needed?

Answer: 9 grams, 6 grams, 35 grams

Question 2: A bag contains red, blue, and green balls in the ratio 4:3:5. If there are 48 balls in total, how many balls of each color are there?

Answer: Red: 16, Blue: 12, Green: 20

Question 3: Calculate the share of a total of 180 units for parts in the ratio 7:3:5.

Answer: 84, 36, 60

Question 4: A total of $240 is shared among three friends in the ratio 5:3:2. How much does each friend receive?

Answer: $100, $60, $40

Question 5: A factory produces 120 units of product A, B, and C in the ratio 2:3:5. How many units of each are produced?

Answer: Product A: 24, B: 36, C: 60

Question 6: A total of 150 liters of water is divided in the ratio 3:4:5 among three tanks. How many liters go into each tank?

Answer: 45 liters, 60 liters, 45 liters

Question 7: In a school, the ratio of boys to girls is 7:5. If there are 96 students in total, how many boys and girls are there?

Answer: Boys: 42, Girls: 54

Question 8: A car travels 150 km in the ratio of speeds 3:4 for two different trips. If the first trip takes 3 hours, what is the speed during that trip?

Answer: 50 km/h

Question 9: A group of people share 240 apples in the ratio 2:3:5. How many apples does each group get?

Answer: 48, 72, 120

Question 10: Construct a triangle on the grid with sides in the ratio 3:4:5. Show the construction steps clearly.

Answer: n/a

Question 11: A farmer divides a field into three parts in the ratio 5:3:2 for different crops. If the total area is 100 hectares, what is the area for each part?

Answer: 50 hectares, 30 hectares, 20 hectares

Question 12: Error analysis: A student calculates the ratio share as 60:40 for a total of 100 units but forgets to simplify the ratio. Identify and correct the mistake.

Answer: The simplified ratio is 3:2.