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Wilma is training for a race. If she swims 7 miles each week for 5 weeks she will reach her goal. On Monday she swam 1 7/8 miles. On Tuesday she swam 1 3/4 miles. How many more miles does she need to swim to reach her weekly goal?

Sagot :

MrRoyal

She has to swim [tex]3\frac{3}8[/tex] miles to reach her weekly goal

Weekly goal

The weekly goal is given as:

[tex]Weekly = 7 miles[/tex]

Covered distance

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

Read more about distance at:

https://brainly.com/question/4931057

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