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?

thedudethatneedshelp Mar 3, 2021

#1**0 **

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?

Answer:

Numbers between 1 and 2011 => 2, 3, ..., 2010.

Even numbers : 2, 4, 6, 8, ..., 2010 => 1005 numbers.

Numbers multiple of 5 : 5, 10, 15, ..., 2010 => 402 numbers.

Numbers of double count : even + multiple of 5 : 10, 20, ..., 2010 => 201.

Numbers are circled with only one color => 1005 + 402 - 201 = 1206.

Jamesaiden Mar 4, 2021