One half of the people at the game wore the team colors. Two thirds of those people wore team
hats as well. One fourth of those with team colors and team hats had banners to wave.
Twenty five people had team colors and banners, but no hats. One hundred people had only
banners. If there were 1824 people at the game, how many had banners?  Choose one:
A) 177
B) 277
C) 377
D) 477
E) 577
1/2 x 1824 = 912 with team colors   2/3 x 912 = 608 with hats and colors   1/4 x 608 = 152 with hats, colors, and banners   152 + 100 + 25= 
<gadget id="calculator">152 + 100 + 25</gadget>
<output>277</output>
277 with banners   correct answer 277
<result>B</result>
One half of the people at the game wore the team colors. Two thirds of those people wore team
hats as well. One fourth of those with team colors and team hats had banners to wave.
Twenty five people had team colors and banners, but no hats. One hundred people had only
banners. If there were 1824 people at the game, how many had banners?