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If a:b = 5:8, x:y = 25:16, evaluate a/x : b/y ?

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If a:b = 5:8, x:y = 25:16, evaluate a/x : b/y ?

A. 2:5

B. 125:128

 C. 3:5

D. 3:4

QUICK ANSWER…

A

DETAILS…

Pretty straight forward question, we’re going to solve this with the simplest method as follows:

From the question, you can safely say:

a = 5

b = 8

x = 25

y = 16

therefore, a/x = 5/25 = 1/5

also, b/y = 8/16 = ½

finally,

a/x : b/y

= 1/5 : ½

= ⅕ ÷ ½

= ⅕ × 2/1

= 2/5

= 2:5 = option A

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is incorrect.
  3. C is not correct.
  4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

  • The sign ‘:’ is called ratio.
  • Ratio simply mean the same thing as division in this calculation.
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/ culled from 2020 JAMB-UTME mathematics past question 13 /

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