Answer:
[tex]74 \frac{5}{20}[/tex]
Step-by-step explanation:
On Friday, he ran [tex]15\frac{3}{5}[/tex] miles.
converting mix number to fraction we get,
[tex]15\frac{3}{5}[/tex] =[tex]\frac{75+3}{5}[/tex] =[tex]\frac{78}{5}[/tex]
On Saturday, he ran twice as much as he did on Friday.
so, for Saturday it is,
2 x [tex] \frac{78}{5} [/tex] miles
=[tex]\frac{78 x 2}{5}[/tex]
=[tex]\frac{156}{5}[/tex]
On Sunday he ran [tex]3\frac{3}{4}[/tex] less than Saturday.
[tex]3\frac{3}{4}[/tex]=[tex]\frac{12+3}{4}[/tex] =[tex]\frac{15}{4}[/tex]
So, for Sunday it is-
[tex]\frac{156}{5}[/tex] - [tex] \frac{15}{4}[/tex]
=[tex]\frac{156x4-15x5}{20}[/tex]
=[tex]\frac{624-75}{20}[/tex]
=[tex]\frac{549}{20}[/tex]
So, for three days,
total distance would be-
[tex]\frac{78}{5}[/tex] + [tex]\frac{156}{5}[/tex] + [tex]\frac{549}{20}[/tex]
=[tex]\frac{78x4 + 156x4 + 549}{20}[/tex]
=[tex]\frac{312+624+549}{20}[/tex]
=[tex]\frac{1485}{20}[/tex]
=[tex]74 \frac{5}{20}[/tex]
So, Mason ran [tex]74 \frac{5}{20}[/tex] miles in three days.
