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Last week Shelly rode her bike a total of 30 miles over a three-day period. On the second day she rode 4/5 the distance she rode on the first day. On the third day she rode 3/2 the distance she rode on the second day. How many miles did Shelly ride on each day? On the first day,Shelly rode miles On the second day,Shelly rode miles On the third day,Shelly rode miles

Answer :

[tex]\begin{gathered} \text{Let's assume she rode x miles on the first day.} \\ So, \\ x+\frac{4}{5}x+\frac{3}{2}\times\frac{4}{5}x=30 \\ x+\frac{4}{5}x+\frac{6}{5}x=30 \\ 5x+4x+6x=30\times5 \\ 15x=150 \\ x=10\text{ miles ( she rode on first day)} \\ ON\text{ second day}\Rightarrow\frac{4}{5}\times10=8\text{ miles} \\ On\text{ third day}\Rightarrow\frac{6}{5}\times10=12\text{ miles} \end{gathered}[/tex]

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