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Keiko always takes her water bottle with her when she hikes, and she always drinks half a liter of water for every mile she hikes. Yesterday, she hiked a mile. What fraction of a liter of water did she drink?

Sagot :

hello

whenever she hikes, she drinks half bottle for 1/2 mile. But yesterday, she hiked 1 mile.

let the number of miles she hiked be represented by y

number of bottles she drank be represented by x

[tex]\begin{gathered} \frac{1}{2}=1\text{mi} \\ x=\frac{3}{4} \\ \text{cross multiply} \\ \frac{3}{4}\times\frac{1}{2}=x\times1 \\ x=\frac{3}{8} \end{gathered}[/tex]

from the calculation above, she drank 3/8 of a bottle

[tex]y=\frac{1}{2}x[/tex]

the above is the general expression

so for every mile she hiked, we can easily calculate the quantity of water she drank