Final answer:
Adriana cared for 20 children and Brandy cared for 12 children.
Step-by-step explanation:
To solve this problem, let's say the number of children Adriana cares for is x. Since Brandy cares for 0.6 times as many children as Adriana, the number of children Brandy cares for would be 0.6x. We also know that Brandy and Adriana together cared for 32 children, so the equation we can set up is:
x + 0.6x = 32
Combining like terms, we get 1.6x = 32. Dividing both sides of the equation by 1.6, we find that x, the number of children Adriana cares for, is 20. Brandy cares for 0.6 times that amount, so Brandy cares for 0.6 * 20 = 12 children.
Therefore, Adriana cared for 20 children, while Brandy cared for 12 children.