a) 21 grams
b) 24 grams
c) 27 grams
d) 29 grams
correct answer is: c) 27 grams
Explanation
The ratio of copper and zinc is 9 : 5
The weight of copper in the alloy is 48.6 grams
Let the weight of zinc in the alloy be ‘x’ grams
According to the question,
9 : 5 = 48.6 : x
\rightarrow\ \frac{9}{5}\ =\ \frac{48.6}{x}
\rightarrow\ 9x\ =\ 48.6\ \times\ 5
\rightarrow\ x\ =\ \frac{486\times5}{9\times10} [remove decimal]
\rightarrow\ x\ =\ 27
\therefore\ The weight of zinc in the alloy is 27 grams.
Ans: The weight of zinc in the alloy is 27 grams.
Another form of this specific question is:
1. If the ratio of copper to zinc in an alloy is 9:5 and the weight of copper is 48.6 grams, calculate the weight of zinc in the alloy.
2. Find the weight of zinc in an alloy when the ratio of copper to zinc is 9:5 and the weight of copper is 48.6 grams.
3. Calculate the weight of zinc in an alloy with a copper-to-zinc ratio of 9:5, given that the weight of copper is 48.6 grams.
4. In an alloy where the copper-to-zinc ratio is 9:5 and the weight of copper is 48.6 grams, determine the weight of zinc.
5. If the weight of copper in an alloy is 48.6 grams and the copper-to-zinc ratio is 9:5, what is the weight of zinc in the alloy?