If factory A turns out x cars an hour and factory B turns out y cars every 2 hours, the number of cars which both factories turn out in 8 hours is….

Options

A. `8(x+y)`
B. `8x+ y/2`
C. `16(x+y)`
D. `(2x+y)4`

Answer

To solve the problem, we need to determine how many cars both factories A and B produce together in 8 hours.

### Step-by-Step Solution:

1. **Understanding Factory A's Production:**
- Factory A produces \( x \) cars every hour.
- Therefore, in 8 hours, Factory A will produce:
\[ \text{Cars produced by A in 8 hours} = 8 \times x = 8x \]

2. **Understanding Factory B's Production:**
- Factory B produces \( y \) cars every 2 hours.
- To find out how many cars it produces in 1 hour, we divide \( y \) by 2:
\[ \text{Cars produced by B in 1 hour} = \frac{y}{2} \]
- Therefore, in 8 hours, Factory B will produce:
\[ \text{Cars produced by B in 8 hours} = 8 \times \frac{y}{2} = 4y \]

3. **Calculating Total Production:**
- Now, we add the production from both factories to find the total number of cars produced in 8 hours:
\[ \text{Total cars produced} = \text{Cars produced by A} + \text{Cars produced by B} = 8x + 4y \]

4. **Final Expression:**
- The total number of cars produced by both factories in 8 hours is:
\[ 8x + 4y \]

### Final Answer:
The number of cars which both factories turn out in 8 hours is \( 8x + 4y \).

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