If a : b = 5 : 8, x : y = 25 : 16; evaluate \(\frac{a}{x}\) : \(\frac{b}{y}\)

  • A 125 : 128
  • B 3 : 5
  • C 3 : 4
  • D 2 : 5
jamb 1989mathematics

The correct answer is D. 2 : 5

Sure! Here is the text written in MathJax:

If \(a : b = 5 : 8\) and \(x : y = 25 : 16\), then we can write \(\frac{a}{b} = \frac{5}{8}\) and \(\frac{x}{y} = \frac{25}{16}\). 

Dividing these two equations, we get \(\frac{\frac{a}{b}}{\frac{x}{y}} = \frac{\frac{5}{8}}{\frac{25}{16}}\), which simplifies to \(\frac{\frac{a}{x}}{\frac{b}{y}} = \frac{5}{8} * \frac{16}{25} = \frac{2}{5}\). 

Therefore, \(\frac{a}{x} : \frac{b}{y} = 2 : 5\)

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