Exploring Ratios Through Word Problems

The video tutorial explains two problems involving ratios. The first problem is about a fruit shop that stocks lemons and oranges in a 5:6 ratio. Given 45 lemons, the video demonstrates how to calculate the number of oranges using bar models and unit values, resulting in 54 oranges. The second problem involves the masses of a rabbit, cat, and dog in a 1:3:9 ratio. With the dog's mass known as 27 kg, the video shows how to find the total mass of all pets, which is 39 kg, using similar bar model techniques.

If a fruit shop stocks lemons and oranges in the ratio 5:6 and there are 45 lemons, how many oranges are there?

• 60

• 50

• 45

• 54

What is the first step in finding the number of oranges if you know the number of lemons and the ratio?

• Divide the number of lemons by the ratio

• Multiply the number of lemons by the ratio

• Find the value of one unit

• Add the number of lemons to the ratio

How do you find the value of one unit if there are 45 lemons and the ratio is 5:6?

• Divide 45 by 5

• Add 45 and 5

• Subtract 5 from 45

• Multiply 45 by 5

If one unit is 9, how many oranges are there in total?

• 72

• 63

• 54

• 45

Ben has a pet rabbit, cat, and dog. The ratio of their masses is 1:3:9. If the mass of the dog is 27 kg, what is the total mass of the pets?

• 39 kg

• 45 kg

• 36 kg

• 30 kg

What is the first step in finding the total mass of Ben's pets?

• Subtract the mass of the dog from the total mass

• Find the value of one unit

• Add the masses of all pets

• Multiply the mass of the dog by the ratio

If the mass of the dog is 27 kg and it represents 9 units, what is the value of one unit?

• 5 kg

• 2 kg

• 4 kg

• 3 kg

What is the mass of the rabbit if one unit is 3 kg?

• 12 kg

• 3 kg

• 6 kg

• 9 kg

What is the mass of the cat if one unit is 3 kg and it represents 3 units?

• 9 kg

• 6 kg

• 15 kg

• 12 kg