Problem Solving (PS) | Re: At a Certain school, the ratio of the number of second

Let the first graders be represented by F, the second graders be represented by S, third graders by T, and fourth graders byFo.

Given data :
\(\frac{S}{Fo} = \frac{8x}{5x}\)
\(\frac{F}{S} = \frac{3y}{4y}\)
\(\frac{T}{Fo} = \frac{3z}{2z}\)
To find a common ratio, we need a common ratio
\(\frac{S}{F} = \frac{16}{10}(When x=2)\)\(\frac{F}{S}= \frac{12}{16}(when y=4)\)
\(\frac{T}{Fo} = \frac{15}{10}(when z=5)\)
The common ratio will be F : S : T : Fo = \(12 : 16 : 15 : 10\) Therefore, the ratio of first graders to third graders is4:5(Option E)
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