The numbers between 1 and 2011 are written on a piece of paper. Logan circles the even numbers with red
circles and Miranda circles the multiples of 5 with blue circles. How many numbers are circled with only one
color?
+591 there are (2010-2)/2+1=1005 circled red, and (2010-5)/5+1=402 circled blue, and there are (2010-10)/10+1=201 circled both blue and red, so
1005+402-201=$\boxed{1206}$ are circled once
