To find out how much alloy can be produced using 4.9 lb, we first need to determine the total parts in the ratio of nickel, zinc, and copper, which is given as 2:7:9.
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Total parts in the ratio:
\( 2 + 7 + 9 = 18 \) -
Finding the weight of each component in the 4.9 lb alloy:
- Nickel:
\[ \text{Weight of Nickel} = \frac{2}{18} \times 4.9 \text{ lb} = \frac{2 \times 4.9}{18} = \frac{9.8}{18} \approx 0.5444 \text{ lb} \] - Zinc:
\[ \text{Weight of Zinc} = \frac{7}{18} \times 4.9 \text{ lb} = \frac{7 \times 4.9}{18} = \frac{34.3}{18} \approx 1.9056 \text{ lb} \] - Copper:
\[ \text{Weight of Copper} = \frac{9}{18} \times 4.9 \text{ lb} = \frac{9 \times 4.9}{18} = \frac{44.1}{18} \approx 2.45 \text{ lb} \]
- Nickel:
So, with 4.9 lb of total material, the composition of the alloy will be approximately 0.54 lb of nickel, 1.91 lb of zinc, and 2.45 lb of copper.
Therefore, the total amount of alloy produced using 4.9 lb is simply 4.9 lb, which consists of these individual components in the specified ratio.