IMAT 2026 · Question 7

Q7 - Problem solving

If s = 3t and t = 9u then: A) s = 3u B) u = s/27 C) s = 18u D) t = 27s E) u = 27s
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The correct answer is B) u = s/27.

We are given s = 3t and t = 9u. To connect s directly to u, replace t in the first equation with 9u:

s = 3 × (9u) = 27u

Now divide both sides by 27 to isolate u:

u = s/27

The key is that s is 3 times t, and t is 9 times u, so s is 3 × 9 = 27 times u.

Dividing s = 27u by 27 gives u = s/27.

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