Jacob has a coin collection. He keeps 5 of the coins in his box, which is 10% of the collection. How many total coins are in his collection?

1 answer

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

According to the information given, 5 coins are 10% of the total collection. We can express this relationship mathematically as:

\[ 5 = 0.10 \times x \]

To find \( x \), we can rearrange the equation:

\[ x = \frac{5}{0.10} \]

Calculating the right side gives:

\[ x = \frac{5}{0.10} = 5 \div 0.10 = 5 \times 10 = 50 \]

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

\[ \boxed{50} \]

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