Question

"Meredith counted the number of juice boxes in a food bank. She concluded that 3/4 of the boxes were apple juice and that the number of orange juice boxes was 1/9 the number of apple juice boxes. What portion of the food bank’s juice boxes was orange juice?

A. 23/36
B. 4/27
C. 31/36
D. 1/12"

Answer 1

The portion of the food bank’s juice boxes that is orange juice is 1/12, which is option D.

Step-by-step explanation:

The student is asking about finding the portion of the food bank’s juice boxes that was orange juice, given that 3/4 are apple juice and the orange juice boxes are 1/9 the number of apple juice boxes. To solve this problem, let's assume the total number of juice boxes is a multiple of 4 and 9 that we can conveniently use for calculation, for example, 36. If 3/4 of these are apple juice, this means there are 3/4 * 36 = 27 apple juice boxes. Since the number of orange juice boxes is 1/9 of the apple juice boxes, there would be 1/9 * 27 = 3 orange juice boxes. Thus, the portion of orange juice boxes is 3 out of 36, or 3/36, which simplifies to 1/12. Therefore, the correct answer is D. 1/12.