She has to swim [tex]3\frac{3}8[/tex] miles to reach her weekly goal
The weekly goal is given as:
[tex]Weekly = 7 miles[/tex]
The distance covered on Monday and Tuesday are given as:
[tex]Monday = 1\frac 78[/tex]
[tex]Tuesday = 1\frac 34[/tex]
The total distance covered is then calculated as:
[tex]Total = Monday + Tuesday[/tex]
This gives
[tex]Total = 1\frac 78 + 1\frac 34[/tex]
Express as improper fractions
[tex]Total = \frac{15}8 + \frac 74[/tex]
Take LCM
[tex]Total = \frac{15+14}8[/tex]
[tex]Total = \frac{29}8[/tex]
The remaining distance is the difference between the weekly goal and the total distance covered.
So, we have:
[tex]r = 7 - \frac{29}8[/tex]
Take LCM
[tex]r = \frac{56-29}8[/tex]
[tex]r = \frac{27}8[/tex]
Express as mixed number
[tex]r = 3\frac{3}8[/tex]
Hence, she has to swim [tex]3\frac{3}8[/tex] miles to reach her weekly goal
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