2. John had 60 marbles. He kept $$ \frac{2}{5} $$ of his marbles and gave the rest of the marbles equally to 6 friends. (a) What fraction of his marbles did each friend receive? (b) How many marbles did each friend receive?

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### Given:
- **Total marbles John has:** 60
- **Fraction John kept:** $$ \frac{2}{5} $$
- **Number of friends:** 6

### (a) What fraction of his marbles did each friend receive?

1. **Determine the fraction of marbles John gave away:**
   
   John kept $$ \frac{2}{5} $$ of his marbles, so he gave away:
   $$
   1 - \frac{2}{5} = \frac{3}{5}
   $$

2. **Divide the given-away fraction equally among 6 friends:**
   
   Each friend receives:
   $$
   \frac{3}{5} \div 6 = \frac{3}{5} \times \frac{1}{6} = \frac{3}{30} = \frac{1}{10}
   $$
   
   **Answer:** Each friend received $$ \frac{1}{10} $$ of John's marbles.

### (b) How many marbles did each friend receive?

1. **Calculate the number of marbles John gave away:**
   $$
   \frac{3}{5} \times 60 = 36 \text{ marbles}
   $$

2. **Divide the 36 marbles equally among 6 friends:**
   $$
   \frac{36}{6} = 6 \text{ marbles}
   $$
   
   **Answer:** Each friend received **6 marbles**.

### Summary:
- **(a)** Each friend received $$ \frac{1}{10} $$ of John’s marbles.
- **(b)** Each friend received 6 marbles.
Each friend received $$ \frac{1}{10} $$ of John's marbles and 6 marbles.

John had 60 marbles. He kept of his marbles and gave the rest of the
marbles equally to 6 friends.
(a) What fraction of his marbles did each friend receive?
(b) How many marbles did each friend receive?

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Solución

Given:

(a) What fraction of his marbles did each friend receive?

(b) How many marbles did each friend receive?

Summary:

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John had 60 marbles. He kept of his marbles and gave the rest of the marbles equally to 6 friends. (a) What fraction of his marbles did each friend receive? (b) How many marbles did each friend receive?