Final answer:
To make 64 ounces of strawberry infused water, Molly needs 16 ounces of strawberry juice and 48 ounces of water.
Step-by-step explanation:
To find the number of ounces of strawberry juice and water needed to make 64 ounces of strawberry infused water, we need to set up a proportion. Let x be the number of ounces of strawberry juice.
According to the problem, for each ounce of strawberry juice, she uses three times as many ounces of water. So, the number of ounces of water is 3x.
Since the total volume of the infused water is 64 ounces, the sum of the strawberry juice and water should equal 64. We can write the equation as:
x + 3x = 64
Combining like terms, we get:
4x = 64
Dividing both sides of the equation by 4, we find that:
x = 16
Therefore, Molly needs 16 ounces of strawberry juice and 3 times that amount, or 48 ounces of water, to make 64 ounces of strawberry infused water.