Answer:
On Friday he jogged
\(\frac{51}{4}=12\frac{3}{4}\) miles.
Step-by-step explanation:
Given : Eric jogged 3 1/4 miles on Monday, 5 5/8 on Tuesday, and 8 miles on Wednesday. suppose he continues the pattern for the remainder of the week.
To find : How far will Eric jog on Friday?
Solution :
On Monday he jogged \(3\frac{1}{4}=\frac{13}{4}\)
On Tuesday he jogged \(5\frac{5}{8}=\frac{45}{8}\)
On Wednesday he jogged 8 miles.
He jogged from Monday and Tuesday
\(\frac{45}{8}-\frac{13}{4}=\frac{45-26}{8}=\frac{19}{8}\)
He jogged from Tuesday and Wednesday
\(8-\frac{45}{8}=\frac{64-45}{8}=\frac{19}{8}\)
He jogs per day is \(\frac{19}{8}\)
Now, In Thursday he jogged
\(8+\frac{19}{8}=\frac{64+19}{8}=\frac{83}{8}\)
In Friday he jogged
\(\frac{83}{8}+\frac{19}{8}=\frac{83+19}{8}=\frac{102}{8}=\frac{51}{4}\)
Therefore, On Friday he jogged
\(\frac{51}{4}=12\frac{3}{4}\) miles.
