Question

You have 6 liters that has 20% of strawberry juice. How many liters of an 80% strawberry juice should be added to the mixture to make 55% strawberry juice

Answer 1

Answer:

127.2 litres

Step-by-step explanation:

Let x be the number of 80% strawberry juice( in litres ) mixed with 6 litre of 20% strawberry juice mixture to obtain 55%  strawberry juice,

∵ Resultant mixture = (6+x) litres,

Since, strawberry in x litres + strawberry in 6 litres = strawberry in resultant mixture

⇒ 80% of x + 20% of 6 = 55% of (60+x)

⇒ 80x + 20 × 6 = 55(60+x)

⇒ 80x + 120 = 55 × 60 + 55x

⇒ 80x = 3300 + 55x - 120

⇒ 80x - 55x = 3180

⇒ 25x = 3180

⇒ x = $\frac{3300}{25}$ = 127.2

Hence, 127.2 litres of 80% mixture should be mixed.

Answer 2

The number of litres required for an 80% strawberry juice to be added to the mixture to make 55% strawberry juice is 127.2litres.

How to calculate number of litres?

In accordance to this question, let x be the number of 80% strawberry juice( in litres ) mixed with 6 litre of 20% strawberry juice mixture to make 55% strawberry juice.

That is; (6+x) litres,

Since, strawberry in x litres + strawberry in 6 litres = strawberry in resulting mixture

80% of x + 20% of 6 = 55% of (60+x)

80x + 20 × 6 = 55(60+x)

80x + 120 = 55 × 60 + 55x

80x = 3300 + 55x - 120

80x - 55x = 3180

25x = 3180

x = 3180 ÷ 25

x = 127.2litres.

Therefore, the number of litres required for an 80% strawberry juice to be added to the mixture to make 55% strawberry juice is 127.2litres.

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