Question

At the Pleasant Valley Golf Course, the average player finishes 18 holes in 72 shots. Landon can complete the course in 64 shots.

How many complete rounds does Landon need to play to have taken at least 100 fewer shots than the average player would?

Number of completed rounds =__________________

Answer 1

x = number of completed rounds
Rate for Pleasant Valley Gold Course Player:
`(72shots)/(18 holes) = 4 shots/hole`
Rate for Landon:
`(64shots)/(18holes) = 3.56 shots/hole`

`3.56x \leq 100*4x \\ 3.56x \leq 400x \\ (3.56x)/(3.56) \leq (400x)/(3.56) \\ x \geq 112.36 \\ x = 113`

Landon needs to play at least 113 rounds to have at least 100 fewer shots than the average player.

Hope this helps!