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Esteban has 600 coins in total, and 240 of them are pennies. The problem asks us to find the percentage of the coins that are pennies.

ArithmeticPercentageRatioFractions
2025/3/6

1. Problem Description

Esteban has 600 coins in total, and 240 of them are pennies. The problem asks us to find the percentage of the coins that are pennies.

2. Solution Steps

To find the percentage of pennies, we need to divide the number of pennies by the total number of coins and then multiply by
1
0

0. The formula for percentage is:

Percentage=PartWhole∗100Percentage = \frac{Part}{Whole} * 100
In this case, the "Part" is the number of pennies (240), and the "Whole" is the total number of coins (600).
Percentage=240600∗100Percentage = \frac{240}{600} * 100
First, we simplify the fraction 240600\frac{240}{600} by dividing both the numerator and denominator by
6

0. $\frac{240}{600} = \frac{240 \div 60}{600 \div 60} = \frac{4}{10}$

Now, we can simplify further by dividing both the numerator and denominator by

2. $\frac{4}{10} = \frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

Now we have:
Percentage=25∗100Percentage = \frac{2}{5} * 100
Percentage=2∗1005Percentage = 2 * \frac{100}{5}
Percentage=2∗20Percentage = 2 * 20
Percentage=40Percentage = 40

3. Final Answer

40

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