Answer:
Adriana cared for 40 children, and Brandy cared for 280 children.
Explanation:
Let a = number of children cared for by Adriana.
Let b = number of children cared for by Brandy.
"together they cared for 320 children this week"
a + b = 320
"brandy cared for 7 times as many children as adriana."
b = 7a
a + b = 320
a + 7a = 320
a + b = 320
8a = 320
a + b = 320
a = 40
40 + b = 320
a = 40
b = 280
a = 40
Answer: Adriana cared for 40 children, and Brandy cared for 280 children.