Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection?

Answer 1

Let the total number of coins in Lauren's collection be denoted by \( x \).

We know that 3 coins represent 4% of the total collection, thus we can set up the equation:

\[ 0.04x = 3 \]

To find \( x \), we can solve for it by dividing both sides of the equation by 0.04:

\[ x = \frac{3}{0.04} \]

Calculating the right-hand side:

\[ x = 3 \div 0.04 = 3 \times 25 = 75 \]

Thus, the total number of coins in Lauren's collection is

\[ \boxed{75} \]