Questions: If 25 apples cost 20, then how many apples could you buy with 100? [?] apples

If 25 apples cost 20, then how many apples could you buy with 100?
[?] apples
Transcript text: If 25 apples cost $20, then how many apples could you buy with $100? [?] apples
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Solution

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Solution Steps

Solution Approach

To solve this problem, we can use the concept of proportions. We know that 25 apples cost $20, so we can set up a proportion to find out how many apples can be bought with $100. The proportion is set up as follows: (25 apples / $20) = (x apples / $100). We can solve for x by cross-multiplying and dividing.

Step 1: Set Up the Proportion

We know that \( 25 \) apples cost \( 20 \) dollars. We want to find out how many apples \( x \) can be bought with \( 100 \) dollars. We can set up the proportion as follows:

\[ \frac{25 \text{ apples}}{20 \text{ dollars}} = \frac{x \text{ apples}}{100 \text{ dollars}} \]

Step 2: Cross-Multiply

To solve for \( x \), we cross-multiply:

\[ 25 \text{ apples} \times 100 \text{ dollars} = 20 \text{ dollars} \times x \text{ apples} \]

This simplifies to:

\[ 2500 = 20x \]

Step 3: Solve for \( x \)

Now, we can solve for \( x \) by dividing both sides by \( 20 \):

\[ x = \frac{2500}{20} = 125 \]

Final Answer

The number of apples that can be bought with \( 100 \) dollars is

\[ \boxed{x = 125} \]

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