Question

Write and solve an equation and then check your answer. Complete the statements. Graciella divided her grapes equally among 6 friends. If each friend received 16 grapes, how many grapes did Graciella have? (5 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. The variable g represents Response area. The equation that correctly models the problem is Response area. To solve the equation for g, Response area on both sides of the equation. The solution of the equation is Response area. Check the solution by substituting Response area for g and simplifying.

Answer 1

Let's break down the problem step-by-step:

1. **Setting up the equation**: Graciella divides her grapes equally among 6 friends, and each friend gets 16 grapes. Therefore, the total number of grapes (g) can be modeled by the equation:
\[
g = 6 \times 16
\]

2. **Solving the equation**: To solve for g, we calculate:
\[
g = 6 \times 16 = 96
\]

3. **The solution of the equation**: Therefore, the solution of the equation is:
\[
g = 96
\]

4. **Checking the solution**: To check the solution, we substitute \( g = 96 \) back into the equation:
\[
6 \text{ friends} \times 16 \text{ grapes per friend} = 96
\]
Simplifying the left side gives:
\[
6 \times 16 = 96
\]

Since both sides of the equation are equal, our solution is verified.

### Completed Statements:

- The variable g represents **the total number of grapes**.
- The equation that correctly models the problem is **g = 6 × 16**.
- To solve the equation for g, **multiply 6 by 16** on both sides of the equation.
- The solution of the equation is **96**.
- Check the solution by substituting **96** for g and simplifying.