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Mike and Andy are each reading the same book mike reads 2\4 of the book on Tuesday and 1\3 of the book on Wednesday Andy reads 1\2 of the book on Tuesday and 1\5 of the book on Wednesday Andy says that all together he reads more of the book on Tuesday and Wensday then mike

Respuesta :

MrRoyal

Answer:

Andy's claim is incorrect

Step-by-step explanation:

Given

Mike:

[tex]Tuesday = \frac{2}{4}[/tex]

[tex]Wednesday = \frac{1}{3}[/tex]

Andy:

[tex]Tuesday = \frac{1}{2}[/tex]

[tex]Wednesday = \frac{1}{5}[/tex]

Required

Is Andy correct?

First, we need to calculate the fraction of book read by Mike.

[tex]Mike = \frac{2}{4} + \frac{1}{3}[/tex]

Take LCM

[tex]Mike = \frac{6+4}{12}[/tex]

[tex]Mike = \frac{10}{12}[/tex]

Convert to decimal

[tex]Mike = 0.833\\[/tex]

Next, we perform the same calcuation for Andy

[tex]Andy = \frac{1}{2} + \frac{1}{5}[/tex]

Take LCM

[tex]Andy = \frac{5+2}{10}[/tex]

[tex]Andy = \frac{7}{10}[/tex]

Convert to decimal

[tex]Andy = 0.70[/tex]

Andy's claim that he read more of the book is incorrect because 0.833 (for Mike) is greater than 0.70 (for Andy)

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