Brass is an alloy made from copper and zinc in the ratio 3:2, based on weight. If 120g of copper are needed for a certain piece of brass, how much zinc will be needed for the same piece?
The answer is 80.
You would first, divide 120 by 3.
Then, multiply 40 by 2.
If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.
A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given that Brass is an alloy made from copper and zinc in the ratio 3:2, based on weight. Therefore, the ratio of the metals can be written as,
Copper / Zinc = 3/2
Now, as the weight of the copper is 120grams. Therefore, the ratio can be written as,
Copper / zinc = 3/2
120 grams / zinc = 3/2
zinc = (120 grams × 2) / 3
zinc = 80 grams
Hence, If 120g of copper are needed for a certain piece of brass, then the weight of the zinc that will be needed for the same piece is 80 grams.
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