# How many kg of the first alloy and of the second alloy should be alloyed together to obtain 28 kgs of new alloy with equal contents of copper and zinc if in two alloys, ratios of copper to zinc are 5:2 and 3:4?

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To find the amount of each alloy needed, first calculate the total amount of copper and zinc in the new alloy:

Copper in the new alloy = (5/7) * 28 kg (from the first alloy) + (3/7) * 28 kg (from the second alloy) Zinc in the new alloy = (2/7) * 28 kg (from the first alloy) + (4/7) * 28 kg (from the second alloy)

To ensure equal contents of copper and zinc: Copper in the new alloy = Zinc in the new alloy

Solve the equations: (5/7) * 28 + (3/7) * 28 = (2/7) * 28 + (4/7) * 28

This simplifies to: 15 + 12 = 8 + 16 27 = 24

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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