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Bob sparkle is mixing up a batch of nuclear fizz punch. he combines cranberry juice and soda water in ratio 3 to 5. How much should mix with 32 fl oz water?
To calculate the amount of cranberry juice and soda water needed to mix with 32 fl oz of water, we can use the given ratio of 3:5. Let x be the amount of cranberry juice and y be the amount of soda water, then:
x / y = 3 / 5
x = 3y / 5
We know that the total volume of the mixture is 32 fl oz, so:
x + y + 32 = 32
x + y = 0
Substituting x = 3y / 5 into the equation:
3y / 5 + y = 0
8y / 5 = 0
y = 0
Therefore, the amount of soda water needed is 0 fl oz. This means that Bob Sparkle should only mix cranberry juice with water.
To find the amount of cranberry juice, we can substitute y = 0 back into the equation x = 3y / 5:
x = 3 * 0 / 5
x = 0
Therefore, the amount of cranberry juice needed is also 0 fl oz. This means that Bob Sparkle should only mix water for the nuclear fizz punch.
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