Question

Carl is making a fruit basket. He uses twice as many apples as oranges and eight more pears than apples. Carl uses a total of 128 pieces of fruit to make the basket.

Write an equation to represent the question
Use the equation to solve for the number of oranges

Answer 1

By representing the number of oranges as 'O' and setting up an equation based on the given relationships between oranges, apples, and pears, we find that Carl uses 24 oranges in his fruit basket.

Step-by-step explanation:

Carl is making a fruit basket and must determine the number of oranges he uses based on the given conditions. To solve this problem, let's denote the number of oranges as O. According to the information provided, Carl uses twice as many apples as oranges, so the number of apples is 2O. He also uses eight more pears than apples, giving us the number of pears as 2O + 8. The total number of fruit pieces used is 128. Therefore, we can write the following equation to represent the situation:

O + 2O + (2O + 8) = 128

Combining like terms, we have:

5O + 8 = 128

Subtracting 8 from both sides gives us:

5O = 120

Dividing both sides by 5, we find:

O = 24

Therefore, Carl uses 24 oranges to make the fruit basket.