Question
at the beach volleyball tournament on saturday, the ratio of fake tans to natural tans was 3 to 5. If 141 people had a fake tan how many had a natural one?
Answers
GPT-4o mini
To find out how many people had a natural tan, we can use the given ratio of fake tans to natural tans, which is 3 to 5.
Let's denote:
- The number of fake tans as \( F \)
- The number of natural tans as \( N \)
According to the ratio, we can set up the following relationship:
\[
\frac{F}{N} = \frac{3}{5}
\]
We also know that \( F = 141 \). Now we can substitute 141 into the equation:
\[
\frac{141}{N} = \frac{3}{5}
\]
To solve for \( N \), we can cross-multiply:
\[
141 \cdot 5 = 3 \cdot N
\]
Calculating the left side:
\[
705 = 3N
\]
Now, divide both sides by 3 to find \( N \):
\[
N = \frac{705}{3} = 235
\]
Thus, the number of people with a natural tan is **235**.
Let's denote:
- The number of fake tans as \( F \)
- The number of natural tans as \( N \)
According to the ratio, we can set up the following relationship:
\[
\frac{F}{N} = \frac{3}{5}
\]
We also know that \( F = 141 \). Now we can substitute 141 into the equation:
\[
\frac{141}{N} = \frac{3}{5}
\]
To solve for \( N \), we can cross-multiply:
\[
141 \cdot 5 = 3 \cdot N
\]
Calculating the left side:
\[
705 = 3N
\]
Now, divide both sides by 3 to find \( N \):
\[
N = \frac{705}{3} = 235
\]
Thus, the number of people with a natural tan is **235**.