Math Problem Statement
A box of fruits contains 25 fruits, 60% of the apples were sold, and 48% of all the fruits in the box were sold. Determine the number of apples in the box.
Solution
Let’s analyze the problem from the image.
Problem Statement:
- A box of fruits contains apples and oranges.
- The total number of fruits is 25.
- 60% of the apples were sold.
- A total of 48% of all the fruits in the box were sold.
- You need to determine the number of apples in the box.
Solution:
Let the number of apples be .
Then the number of oranges will be .
Step 1: Total fruits sold
The problem states that 48% of all the fruits were sold. Since there are 25 fruits:
Step 2: Apples sold
It is also given that 60% of the apples were sold:
Step 3: Oranges sold
Since the total fruits sold is 12, the number of oranges sold is:
Step 4: Oranges sold relation
All the oranges must have been sold (as implied). Therefore: Substituting:
Step 5: Solve for
Simplify the equation:
So number of **apples ____,
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Math Problem Analysis
Mathematical Concepts
Algebra
Percentages
Formulas
Total fruits sold = 48% × Total fruits
Apples sold = 60% × Number of apples
Oranges sold = Total fruits sold - Apples sold
Theorems
-
Suitable Grade Level
Grades 6-8