Answer:
Explanation:
a) To illustrate the given information in a Venn diagram, we can create three overlapping circles representing the three items of food: beans, plantain, and rice. Let's label these circles B, P, and R respectively. In the intersection of B and P, we will write the number of children who took both beans and plantain only (3). In the intersection of B and R, we will write the number of children who took both beans and rice only (2). In the intersection of P and R, we will write the number of children who took both plantain and rice only (0), since none of them took both items exclusively. In the center, where all three circles overlap, we will write the number of children who took all three items (5). Now, let's fill in the remaining sections of the circles. In the section labeled B only, we will write the number of children who took beans only (3). In the section labeled P only, we will write the number of children who took plantain only (9). In the section labeled R only, we will write the number of children who took rice only (2). b) Using the diagram, we can find the number of children who took: i) plantain and beans only: By adding the numbers in the intersection of B and P only, we have 3 children who took both beans and plantain only. ii) rice and beans only: By adding the numbers in the intersection of B and R only, we have 2 children who took both beans and rice only. iii) None of the three items: By adding the numbers outside all three circles, we have 50 - (3 + 9 + 2 + 5 + 3 + 2) = 26 children who took none of the three items.