Question

question
sofia has a collection of 200 coins. how many coins represent 20% of her collection?
divide/scale down to solve for the missing percent.
coins
200
20
100
percent

Explanation:

Step1: Convert percentage to decimal

To find 20% of 200, first convert 20% to a decimal. Recall that to convert a percentage to a decimal, we divide by 100. So, \(20\%=\frac{20}{100} = 0.2\).

Step2: Multiply by total number of coins

Now, multiply this decimal by the total number of coins (200) to find 20% of the collection. The formula for finding a percentage of a number is \( \text{Percentage of number}=\text{Decimal form of percentage}\times\text{Total number} \). So, we calculate \(0.2\times200\).
\(0.2\times200 = 40\). We can also think about it using the tape diagram: since 100% is 200 coins, 1% would be \(200\div100 = 2\) coins, and then 20% would be \(20\times2=40\) coins.

Answer:

40