To find out how many coins represent 20% of Fatoumata's collection of 280 coins, you can use the percentage formula:
\[ \text{Amount} = \text{Total} \times \text{Percentage} \]
In this case, the Total is 280, and the Percentage is 20%, which can be expressed as a decimal:
\[ 20% = \frac{20}{100} = 0.2 \]
Now, substitute these values into the formula:
\[ \text{Amount} = 280 \times 0.2 \]
Now, calculate the amount:
\[ \text{Amount} = 280 \times 0.2 = 56 \]
So, 20% of Fatoumata's collection represents 56 coins.
To confirm by dividing/scaling down, you can also determine what 1% of the collection would be first:
\[ 1% = \frac{280}{100} = 2.8 \]
Then multiply by 20 to find 20%:
\[ 20% = 2.8 \times 20 = 56 \]
Thus, both methods show that 20% of Fatoumata's collection is 56 coins.
1 answer