Bishop ate 12

Question

of a sandwich for lunch, and she ate 23
of what was left after work. How much of the sandwich did Bishop eat after work?(

Answer 1

Let's break down the problem step by step.

1. Total Sandwich: Let's represent the total sandwich as 1 (or 100%).

2. Amount eaten for lunch: Bishop ate \( \frac{1}{2} \) of the sandwich for lunch.

   After lunch, the amount of sandwich left is: \[ 1 - \frac{1}{2} = \frac{1}{2} \]

3. Amount eaten after work: After work, Bishop ate \( \frac{2}{3} \) of what was left. The amount left after lunch was \( \frac{1}{2} \).

   To find out how much she ate after work: \[ \text{Amount eaten after work} = \frac{2}{3} \times \frac{1}{2} \] \[ = \frac{2 \times 1}{3 \times 2} = \frac{2}{6} = \frac{1}{3} \]

So, Bishop ate \( \frac{1}{3} \) of the sandwich after work.