(2 Fruit juice A is composed of 2 parts apple juice and 1 part grape juice.
Fruit juice B is composed of 1 part apple juice and 2 parts grape juice.
When A and B are mixed, the new mixture has 10 kg of apple juice and
8 kg of grape juice. How many kilograms does each type of original
fruit juice weigh

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AFOKE88 AFOKE88 · Answer 1 · 2022-08-05T21:01:07+02:00

The amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

The concentrations of apple and grape juice in the two different juice types are given as;

Juice A:

(2/3) apple

(1/3) grape

Juice B:

(1/3) apple

(2/3) grape

Let a be how much juice A is in the mixture;

Let b be how much juice B is in the mix.

Thus;

²/₃a + ¹/₃b = 10 ------(eq 1)

¹/₃a + ²/₃b = 8 ------(eq 2)

Solving both equations simultaneously gives us;

a = 12 and b = 6

Thus, the amount of kilograms of each type of original fruit juice weighs; 12 kg of Apple and 6 kg of grape

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