Giles bought 5 pounds of chicken and 10 pounds of beef (twice as much!). Remember, the price info is hidden in the second equation, which only option D satisfies. So, option D is the correct .
Let's analyze each option to find the correct one:
a) x = 3, y = 6:
- If x = 3, then y = 2 * 3 = 6. Seems plausible.
- Now plug both values into the second equation: 1.85 * 3 + 3.70 * 6 = 12.95. This equation holds true, so it could be the solution.
b) x = 2, y = 4:
- Similar to option a), y = 2 * 2 = 4.
- But plugging these values into the second equation: 1.85 * 2 + 3.70 * 4 = 11.3. This doesn't match 12.95, so it's not the solution.
c) x = 4, y = 8:
- Following the pattern, y = 2 * 4 = 8.
- Checking the second equation: 1.85 * 4 + 3.70 * 8 = 16.2. Again, not a match.
d) x = 5, y = 10:
- y = 2 * 5 = 10. Matches the first equation.
- Finally, checking the second equation: 1.85 * 5 + 3.70 * 10 = 12.95! This option fulfills both equations.
Therefore, the correct answer is d) x = 5, y = 10.
So, Giles bought 5 pounds of chicken and 10 pounds of beef. He bought twice as much beef as chicken, which aligns with the first equation (y = 2x). The second equation then checks the total cost based on the individual prices of chicken and beef.