Questions: 3. Dylan plans to eat 1 fifth of his candy bar. His 4 friends want him to share the rest equally. Show how Dylan and his friends can each get an equal share of the candy bar.

3. Dylan plans to eat 1 fifth of his candy bar. His 4 friends want him to share the rest equally. Show how Dylan and his friends can each get an equal share of the candy bar.

Transcript text: 3. Dylan plans to eat 1 fifth of his candy bar. His 4 friends want him to share the rest equally. Show how Dylan and his friends can each get an equal share of the candy bar.

Solution

Solution Steps

Step 1: Determine Dylan's Portion

Dylan plans to eat \(\frac{1}{5}\) of his candy bar. Therefore, the portion of the candy bar that Dylan will consume is:

\[ \text{Dylan's portion} = \frac{1}{5} \]

Step 2: Calculate the Remaining Portion

After Dylan eats his share, the remaining portion of the candy bar is:

\[ \text{Remaining portion} = 1 - \frac{1}{5} = \frac{4}{5} \]

Step 3: Divide the Remaining Portion Among Friends

Dylan's 4 friends want to share the remaining \(\frac{4}{5}\) of the candy bar equally. Since there are 4 friends, each friend will receive:

\[ \text{Each friend's share} = \frac{\frac{4}{5}}{4} = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} \]

Step 4: Determine Each Person's Final Share

Since Dylan also wants to share equally with his friends, he will also take \(\frac{1}{5}\) of the remaining portion. Therefore, each person, including Dylan, will receive:

\[ \text{Each person's final share} = \frac{1}{5} \]