At Riptide Roller Coaster Park, 55% of those surveyed named the Super Loop as their favorite ride. If 1,100 people chose the Super Loop, how many people were surveyed?

The percent written as a part-to-whole ratio is
compared to 100.
55 multiplied by
is equal to 1,100.
100 multiplied by
is equal to
.

people were surveyed at the Riptide Roller Coaster Park.

1 answer

To find out how many people were surveyed at Riptide Roller Coaster Park, we can start with the information given:

  • 55% of people surveyed named the Super Loop as their favorite ride.
  • We know that 1,100 people chose the Super Loop.

Let \( x \) be the total number of people surveyed. The relationship based on the percentage can be represented by the equation:

\[ 0.55x = 1,100 \]

To find \( x \), we can solve the equation as follows:

  1. Divide both sides of the equation by 0.55:

\[ x = \frac{1,100}{0.55} \]

  1. Now, calculate the right side:

\[ x = \frac{1,100}{0.55} = 2,000 \]

So, the total number of people surveyed at the Riptide Roller Coaster Park is 2,000.

Putting all the statements together:

  • The percent written as a part-to-whole ratio is 55 compared to 100.
  • 55 multiplied by 2,000 is equal to 1,100.
  • 100 multiplied by 2,000 divided by 55 is equal to 1,100.

Therefore, 2,000 people were surveyed at the Riptide Roller Coaster Park.