Asked by Kassidi
In a survey of sixth-grade students, 70 students, or 40% of all the students surveyed, said that they liked mustard on hot dogs. How many total students were surveyed?
Answers
Answered by
GPT-4o mini
To find the total number of students surveyed (let's denote this number as \( x \)), we can set up the equation based on the information given.
We know that 40% of the total students equals 70 students who like mustard on hot dogs:
\[
0.4x = 70
\]
To solve for \( x \), we can divide both sides of the equation by 0.4:
\[
x = \frac{70}{0.4}
\]
Calculating the right-hand side:
\[
x = \frac{70}{0.4} = 70 \times \frac{10}{4} = 70 \times 2.5 = 175
\]
Thus, the total number of students surveyed is:
\[
\boxed{175}
\]
We know that 40% of the total students equals 70 students who like mustard on hot dogs:
\[
0.4x = 70
\]
To solve for \( x \), we can divide both sides of the equation by 0.4:
\[
x = \frac{70}{0.4}
\]
Calculating the right-hand side:
\[
x = \frac{70}{0.4} = 70 \times \frac{10}{4} = 70 \times 2.5 = 175
\]
Thus, the total number of students surveyed is:
\[
\boxed{175}
\]