To find the total number of photos taken based on the information that 60 photos represent 15 percent, we can set up the equation based on the percent formula.
Let \( x \) be the total number of photos taken. According to the percentage formula:
\[ \text{percentage} = \frac{\text{part}}{\text{whole}} \times 100 \]
Here, we have:
\[ 15 = \frac{60}{x} \times 100 \]
To solve for \( x \), rearranging gives:
\[ \frac{60}{x} = \frac{15}{100} \]
Cross multiplying leads to:
\[ 60 \times 100 = 15 \times x \]
\[ 6000 = 15x \]
Dividing both sides by 15 gives:
\[ x = \frac{6000}{15} = 400 \]
Thus, the total number of photos \( x \) is 400.
Analyzing the provided equations, we need to find the equation that is equivalent to this calculation.
The only correct transformation that leads us toward solving for the total number of photos is:
\[ \frac{60}{15} = \frac{x}{100} \]
This means \( x \) total corresponds to 100%, and since 60 is 15%, this leads us back to our calculation.
None of the given options directly represent this form. However, if we evaluate them:
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StartFraction 60 times 4 Over 15 times 4 EndFraction = StartFraction 240 Over 60 EndFraction does lead to correct paths but does not yield a direct equation for x.
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StartFraction 60 divided by 4 Over 100 divided by 4 EndFraction = StartFraction 15 Over 25 EndFraction simplifies to \( 15/25 = 0.6 \), not relevant.
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StartFraction 60 divided by 10 Over 100 divided by 10 EndFraction = StartFraction 6 Over 10 EndFraction also doesn't match our context.
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StartFraction 15 times 4 Over 100 times 4 EndFraction = StartFraction 60 Over 400 EndFraction correctly simplifies to \( 15/100 = 60/400\), indicating right alignment.
Given the problem asks for an equation that helps find the total, the last one (4) effectively shows the proportion format but does not directly pinpoint \( x \) as \( 400 \) correctly.
Thus, the correct approach to write the ultimate proportion is, transforming it to represent the percentage correctly provides us the alignment we need. However, considering the context of equations:
StartFraction 15 times 4 Over 100 times 4 EndFraction = StartFraction 60 Over 400 EndFraction serves as a step in identifying \( x = 400\).
So selecting based on relevance to proportion and relations that disclose the relationship yields option 4 as closest to evaluating the total directly.
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