Asoap maker uses a mixture of 3 kg of natural animal fat and 5 kg of synthetic fat to create his soap. in order to make 512 kg of his soap, how many kg of synthetic fat are needed? 320 192 307 819 853

Number of kilograms of natural animal fat used = 3 kg.

Number of kilograms of synthetic fat used = 5 kg.

The ratio of natural animal fat used to synthetic fat used = 3:5.

Let us assume number kilograms of natural animal fat used to make 512 kg of soap. = x kg.

And number of kilograms used for synthetic fat would be (512-x) kg.

Now, we can setup a proportion.

On cross multiplying, we get

5*x = 3*(512-x).

5x = 1536 -3x.

Adding 3x on both sides, we get

5x+3x = 1536 -3x+3x.

8x = 1536.

Dividing both sides by 8, we get

8x/8= 1536/8

x=192.

But we took x for number kilograms of natural animal fat used.

And we have

Number of kilograms used for synthetic fat = 512-192 = 320 kg.

Therefore, number of kilograms used for synthetic fat = 320kg.

First option is correct.

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