Question

Piper has a coin collection. She keeps 1212 of the coins in her box, which is 2, percent2% of the collection. How many total coins are in her collection?

Answer 1

Let the total number of coins in Piper's collection be denoted as \( x \). According to the problem, 1212 coins represent 2% of her total coin collection. We can express this relationship with the equation:

\[
0.02x = 1212
\]

To find \( x \), we can solve for \( x \) by dividing both sides of the equation by 0.02:

\[
x = \frac{1212}{0.02}
\]

Calculating the right-hand side:

\[
x = 1212 \div 0.02
\]

To divide by a decimal, we can convert 0.02 to a fraction:

\[
0.02 = \frac{2}{100} = \frac{1}{50}
\]

Thus:

\[
x = 1212 \div \frac{1}{50} = 1212 \times 50
\]

Now, we calculate \( 1212 \times 50 \):

\[
1212 \times 50 = 60600
\]

Therefore, the total number of coins in Piper's collection is:

\[
\boxed{60600}
\]