Problem Solving

The wording here is problematic for a few reasons - it needs to mention that yard totals must be integers (that's not going to be intuitive or obvious to someone who doesn't follow football), it should say 'yards per game', and it should certainly not ask what Barry needs to do to "keep his average above 100 yards", since that suggests his average already is above 100, and it clearly is not.

For his average to be above 100 yards in 6 games, his total yardage needs to exceed 600. So we know

98+107+85+89+91 + x > 600
470+x > 600
x > 130

Since this inequality is strict, the minimum he needs (assuming yards must be integers) is 131.

BTGmoderatorDC wrote:In five football games thus far this season, Barry has run for 98, 107, 85, 89, and 91 yards. At a minimum, how many yards will he need to gain this Sunday if he wants to keep his season average above 100 yards?

A. 101
B. 116
C. 130
D. 131
E. 141

OA D

Source: Veritas Prep

Letting n = the number of yards he needs this Sunday, we can create the equation:

(98 + 107 + 85 + 89 + 91 + n)/6 > 100

470 + n > 600

n > 130

Answer: D