Julio's family traveled 3 8 of the distance to his aunt's house on Saturday. They traveled 3 5 of the remaining distance on Sunday. What fraction of the total distance to his aunt's house was traveled on Sunday?

Respuesta :

Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Given

Julio traveled [tex]\frac{3}{8}[/tex] of distance to his aunt's house on Saturday

they have traveled [tex]\frac{3}{5}[/tex] of the remaining distance on Sunday

suppose the total distance is [tex]x[/tex]

Distance traveled on Saturday

[tex]\dfrac{3x}{8}[/tex]

Remaining distance is

[tex]x-\dfrac{3x}{8}=\dfrac{5x}{8}[/tex]

Distance traveled on Sunday

[tex]\Rightarrow \dfrac{3}{5}\times \dfrac{5x}{8}=\dfrac{3x}{8}[/tex]

The fraction of distance traveled on Sunday is

[tex]\Rightarrow \dfrac{\frac{3x}{8}}{x}=\dfrac{3}{8}[/tex]

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