Question

luna entered a raffle for a new pair of running shoes. she purchased 20 tickets and was told that she had a 20% chance of winning. how many tickets were sold?
$p(\text{luna winning}) = \frac{\text{number of tickets purchased}}{\text{total number of tickets sold}}$
$20\\% = \frac{20}{x}$
$\frac{1}{5} = \frac{20}{x}$
$x = \square$ tickets

Explanation:

Step1: Convert percentage to fraction

We know that \(20\%=\frac{20}{100}=\frac{1}{5}\), so the equation becomes \(\frac{1}{5}=\frac{20}{x}\).

Step2: Cross - multiply to solve for \(x\)

Cross - multiplying gives us \(1\times x = 5\times20\).

Step3: Calculate the value of \(x\)

Since \(5\times20 = 100\), we have \(x = 100\).

Answer:

100