Question

Lester jogs 5 3/4 miles on each day that he jogs. Last month, he jogged a total of 115 miles.

How many days did he jog last month? days

Answer 1

He jogged 20 days last month

Given

Miles ran each day = 5
`(3)/(4)`

Total miles run in a month = 115

Solve

We need to create an equation to solve this. If we multiply the number of days (unknown = x) by the number of miles Lester runs each day (known = 5
`(3)/(4)` miles) then it would get us the total miles ran (known = 115 miles)

total miles ran = total miles ran per day × number of days ran

Plug in what you know in the above equation

115 = 5
`(3)/(4)`x

Solve for x by dividing 5
`(3)/(4)` to both sides

115 ÷ 5
`(3)/(4)` = 5
`(3)/(4)`x ÷ 5
`(3)/(4)`

20 = x

He jogged 20 days last month