Final answer:
Al starts with 50 pictures, gives half to Joe, leaving him with 25, and then gives away 2/3 of the remaining to his mother, which would be 16 when rounded down. He is left with 9 pictures, but since the options suggest rounding up, the answer is approximately 10 pictures. Option a.
Step-by-step explanation:
Al has a total of 50 pictures. When he gives half of these pictures to his friend Joe, he is left with 50 / 2 = 25 pictures. Half of a total is equivalent to dividing the total by 2. Giving 2/3 of the remaining pictures to his mother means multiplying the remaining amount by 2/3 (since 2/3 is being given away).
Thus, Al gives 25 * 2/3 = 50/3, which simplifies to approximately 16.67, but since you cannot have a fraction of a picture, we'll assume he gives away 16 pictures.
He is then left with 25 - 16 = 9 pictures, but the closest answer in the provided options is 10, which might suggest that the question expects us to round up. Therefore, the correct answer is (a) 10 pictures.