15000 fans in the beginnind one third left inequality

Question

More than 15000 fans showed up for the UVA vs. Virginia Tech football game. At half time UVA was down by 35 points so one third of the UVA fans left. Write an inequality to describe the number of UVA fans after the half time.

Answer 1

Lena,

 

Let x be the number of fans that showed up.

At half time 1/3 fans left so remaining fans is (1-(1/3)x = (2/3)x

 

Also x > 15,000

Number of fans after half time is 2/3 x so 

 

2/3(x) > 2/3(15,000)

 

Remaining fans > 10,000