A survey was taken asking people which soft drink they preferred…Brite or Fuzz. 326 people reported preferring Fuzz. The people who liked Fuzz represented 23 less than 1/5 of the total people surveyed. How many people were surveyed?
let the total be x
"...represented 23 less than 1/5 of the total " -----> (1/5)x - 23
What is that "equal" to ??
1745?
To find the total number of people surveyed, we need to solve the equation given in the question.
Let's assume the total number of people surveyed is represented by the variable 'x.'
Now, we know that the number of people who preferred Fuzz is 326, which is 23 less than 1/5 of the total number surveyed.
We can set up an equation to represent this information:
326 = (1/5)x - 23
To solve for 'x,' we can start by isolating the variable on one side of the equation.
First, let's add 23 to both sides of the equation:
326 + 23 = (1/5)x
349 = (1/5)x
Next, we want to get rid of the fraction. We can do this by multiplying both sides of the equation by 5:
349 * 5 = x
1745 = x
Therefore, the total number of people surveyed is 1745.