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?

Respuesta :

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.

What is a Ratio?

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.

Learn more about Ratios here:

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