Understanding Ratios and Algebra in Fruit Problems

The video tutorial addresses a classic ratio problem involving apples and oranges. Initially, the ratio of apples to oranges is given as 5:8. The problem involves removing 15 apples, which changes the ratio to 1:4. The tutorial uses algebra to determine the total number of fruits remaining after the apples are removed. The solution involves setting up equations based on the given ratios and solving for the total number of fruits. The final answer reveals that 50 pieces of fruit remain after the apples are removed.

What is the initial ratio of apples to oranges?

• 4:1

• 1:4

• 8:5

• 5:8

What happens to the ratio of apples to oranges when 15 apples are removed?

• It becomes 8:5

• It remains 5:8

• It becomes 4:1

• It becomes 1:4

If x is the total number of fruits initially, what expression represents the number of apples?

• 5x/13

• x/8

• 8x/13

• x/5

How many groups of 13 fruits are there initially?

• x/13

• 13/x

• x/5

• 5/x

How many apples are there in each group of 13 fruits?

• 5

• 8

• 4

• 1

What is the equation used to find the number of oranges after removing apples?

• x/13 = 4/5(x-15)

• 5x/13 = 4/5(x-15)

• 8x/13 = 4/5(x-15)

• x/5 = 4/5(x-15)

What is the new ratio of apples to oranges after removing 15 apples?

• 1:4

• 5:8

• 4:1

• 8:5

What is the total number of fruits after removing 15 apples?

• 65

• 45

• 50

• 55

What is the total number of fruits initially?

• 45

• 80

• 65

• 50

What is the final step to find the number of fruits left?

• Divide 65 by 15

• Multiply 65 by 15

• Add 15 to 50

• Subtract 15 from 65