ACT 2017 December(A10) Math Question 14 Explanation - ACT Helper

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2017 December(A10) Math Question 14
Word Problems
- Proportions & Ratios
Choice K
$\frac{x m i l e s}{2 \frac{3}{4} i n c h e s} = \frac{16 m i l e s}{\frac{1}{4} i n c h e s}$ $\Rightarrow \frac{x}{\frac{11}{4}} = \frac{16}{\frac{1}{4}}$ $\Rightarrow \frac{x}{11} = \frac{16}{1}$ $\Rightarrow x = 16 \times 11 = 176 m i l e s$
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