Give the step-by-step reasoning process and then the final answer. Marjorie works as a baker. Every day, she makes twice as many cakes as she did the day before. On the sixth day, she makes 320 cakes. How many cakes did Marjorie make on the first day?
As the number of cakes doubles each day, Marjorie must have made 320 cakes / 2 = 160 cakes on the fifth day. So on the fourth day, she must have made 160 cakes / 2 = 80 cakes. This means that on the third day, she made 80 cakes / 2 = 40 cakes. On the second day, she made 40 cakes / 2 = 20 cakes. So on the first day, she made 20 cakes / 2 = 10 cakes.
The final answer: 10.