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We are given: Strawberry juice = 5 parts and
Water quantity = 3 parts .
Ratio of Strawberry juice to Water is = 5 : 3.
Total fluid ounces of the strawberry drink need to make = 64 ounces.
Let us assume strawberry juice need = x ounces.
So, the water would be need = Total fluid - strawberry juice = 64 -x ounces.
The ratio of Strawberry juice to Water would reamain same 5:3.
So, we can setup a proportion now.
On cross multiplying, we get
x*3=5 *(64-x)
Distibuting 5 over (64-x), we get
3x = 5 * 64 - 5*x
3x = 320 -5x
Adding 5x on both sides, we get
3x+5x = 320-5x +5x
8x = 320
Dividing both sides by 8, we get
x = 40
So, strawberry juice need = 40 ounces.
Water would be need = 64 - 40 = 24 ounces.
Therefore, 40 ounces of strawberry juice and 24 ounces of water carmen needs to make 64 fluid ounces of the strawberry drink.