Bot GPT 4-o mini To find out what number 150 is 25% of, we can set up the equation based on the percentage:
Let \( x \) be the number we are trying to find. Since 25% of \( x \) is equal to 150, we can write the equation as:
\[ 0.25x = 150 \]
To solve for \( x \), we can divide both sides by 0.25:
\[ x = \frac{150}{0.25} \]
Calculating the right side:
\[ x = 150 \div 0.25 = 150 \times 4 = 600 \]
Thus, 150 is 25% of 600.
Equivalent Ratios Approach
In terms of equivalent ratios, the problem can be set up as follows:
- Write the ratio involving the part (150) and the total number (let's call it \( x \)) concerning the percentage.
- Since 150 represents 25% of \( x \), we can write the ratio as:
\[ \frac{150}{x} = \frac{25}{100} \]
Cross-multiplying gives:
\[ 150 \times 100 = 25 \times x \]
Simplifying that gives:
\[ 15000 = 25x \]
And then dividing by 25:
\[ x = \frac{15000}{25} = 600 \]
Since all students had different methods to find this ratio, you should verify which student’s mathematical process adheres to this and correctly points to the solution that \( x = 600 \).
If we need to identify the correct student out of Isabella, Bill, Liam, and Yasmin, you should look for the student whose final answer is 600 and who used accurate equivalent ratios. Without their specific work shown, we confirm the correct result is 600 based on the calculations provided above.
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