Bob Sparkle is mixing up a batch of Nuclear Fizz punch. He combines cranberry juice and soda water in a ration of 3 to 5. How much juice should he mix with 32 oz of soda water?
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To find the amount of cranberry juice Bob Sparkle should mix with 32 oz of soda water, we first need to determine the ratio between cranberry juice and soda water.
According to the given ratio of 3 to 5, this means that for every 3 parts of cranberry juice, there are 5 parts of soda water.
To find the amount of cranberry juice required, we'll set up a proportion:
3 parts cranberry juice / 5 parts soda water = x amount of cranberry juice / 32 oz soda water
We can cross-multiply to solve for x:
3 parts cranberry juice * 32 oz soda water = 5 parts soda water * x amount of cranberry juice
96 oz cranberry juice = 5x
Now divide both sides of the equation by 5 to solve for x:
96 oz cranberry juice / 5 = x
x ≈ 19.2 oz
So Bob Sparkle should mix approximately 19.2 oz of cranberry juice with 32 oz of soda water to maintain the ratio of 3 to 5.
3+5 = 8 parts.
32/8 = 4, so multiply the ratio by 4
3:5 = 12:20 for 32 parts