Question

Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many laps must Kellyn jog to meet her goal?

Answer 1

a lap is 6/5 miles
minimum 15 / 2 miles
(15/2)/(6/5) = 25/4 = 6 and 1/4 laps minimum which has to be rounded up to 7 laps

Answer 2

1 1/5 can be written as 6/5
7 1/2 can be written as 15/2
Let X be the number of laps Kellyn wants to jog to meet her 7 1/2 mile goal:
6/5x = 15/2 Multiply both sides by (5/6), the inverse of 6/5
x = 15(5) / 2 ( 6)
x = 75 / 12
X = 25 / 4, or 6 and 1/4 laps