Answer: To find out how many ounces of orange sherbet are needed for one batch of smoothie, you can use the proportion of orange sherbet to the total amount of smoothie.
24 oz of orange sherbet / 5/8 of smoothie = x oz of orange sherbet / 1 batch of smoothie
To solve for x, you can cross-multiply and simplify:
(24 oz of orange sherbet) * (1 batch of smoothie) = (5/8 of smoothie) * x oz of orange sherbet
24 * 1 = 5/8 * x
24 = 5/8 * x
By multiplying both sides by 8/5,
x = 24 * 8/5
x = 38.4 oz
So, 38.4 ounces of orange sherbet are needed for one batch of smoothie.
Explanation: