Final answer:
Regan sold 1 11/12 gallons of lemonade, which is option B. This is calculated by taking 2/3 of Mark's 2 7/8 gallons.
therefore, option B is correct
Step-by-step explanation:
The student asked how much lemonade, in gallons, Regan sold if she sold 2/3 as much as Mark, who sold 2 7/8 gallons.
First, we convert Mark's sales to an improper fraction: 2 7/8 = (2×8) + 7 = 16 + 7 = 23/8 gallons.
Next, we calculate 2/3 of Mark's sales to find Regan's sales: (2/3) × (23/8) = (2×23) / (3×8) = 46/24. Simplifying this fraction, we get 46/24 = 1 22/24, and further simplifying the fraction part we get 1 11/12.
Therefore, Regan sold 1 11/12 gallons of lemonade, which corresponds to option B. 1 11/12.
the complete Question is given below:
On saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell?
A. 1 5/16
B. 1 11/12
C. 2 7/12
D. 4 5/16