There are 32 more apples than oranges in a box. 35 o​f the oranges and 13 o​f the apples are overripe. If the number of overripe apples and the number of overripe oranges are the same, how many pieces of overripe fruit are there?

hmm, not too sure.

Let's solve this step-by-step:

Step 1: Let's assume the number of oranges in the box is x.
Step 2: According to the given information, the number of apples in the box would be x + 32, because there are 32 more apples than oranges.
Step 3: The number of overripe oranges is given as 35.
Step 4: The number of overripe apples is given as 13.
Step 5: We are told that the number of overripe apples and overripe oranges are the same, so we can equate them.
Step 6: Setting up the equation: 35 = 13
Step 7: Solving the equation: x + 32 = 35 - 13
Step 8: Simplifying the equation: x + 32 = 22
Step 9: Solving for x: x = 22 - 32
Step 10: Simplifying further: x = -10

Since we cannot have a negative number of oranges, it seems there is an error in the given information. Could you please double-check?

To find the number of overripe fruits, we need to find the number of apples and oranges separately first.

Let's represent the number of oranges in the box as "O" and the number of apples as "A".

From the given information, we know that there are 32 more apples than oranges, so we can write the equation:

A = O + 32 .....(1)

We also know that 35 of the oranges and 13 of the apples are overripe. So we can write another equation for the number of overripe fruits:

35 = O .....(2)
13 = A .....(3)

From equation (2), we can see that there are 35 overripe oranges. Substituting this value in equation (1), we get:

A = 35 + 32
A = 67

So, there are 67 apples in the box.

Similarly, from equation (3), we can see that there are 13 overripe apples.

Now, we can add the number of overripe oranges and apples together to find the total number of overripe fruits:

Total overripe fruits = Number of overripe oranges + Number of overripe apples
= 35 + 13
= 48

Therefore, there are 48 pieces of overripe fruit in total.