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If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3

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If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

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New post 11 Oct 2018, 02:12
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (01:37) correct 14% (02:31) wrong based on 64 sessions

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Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

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New post 11 Oct 2018, 02:17
1
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of \(\frac{rst}{u^3}\) ?

A. 30

B. 60

C. 150

D. 300

E. 600



r = 3s = 3 * 10 u = 30 u

s = 5t = 5 * 2u = 10 u

t = 2u.

Question :\(\frac{rst}{u^3}\) = \(\frac{30u*10u*2u}{u*u*u}\) = 600.

The best answer is E.

Note: As u is the denominator convert all the items in terms of u.

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Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

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New post 11 Oct 2018, 02:25
convert all the right hand side of all equation into variable 'u'
as \(t=2u\)
so \(s=5(2u)=10u\)
\(r=3(10u)=30u\)

so expression is:
\(\frac{rst}{u^3}=\frac{30u*10u*2u}{u^3}\)
\(\frac{600u^3}{u^3}\)

\(600\)
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Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

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New post 11 Oct 2018, 07:27
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of \(\frac{rst}{u^3}\) ?

A. 30

B. 60

C. 150

D. 300

E. 600


\(r = 3*5(2u) =30u\)

\(s = 5(2u) = 10u\)

\(t = 2u\)

So, \(\frac{rst}{u^3} = \frac{30u*10u*2u}{u^3}= 600\); Answer must be (E)
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Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3  [#permalink]

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New post 12 Oct 2018, 17:05
Bunuel wrote:
If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of \(\frac{rst}{u^3}\) ?

A. 30

B. 60

C. 150

D. 300

E. 600


Let \(u=1\)\(\), therefore \(t=2\) & \(s=10\) & \(r=30\)

\(\frac{rst}{u^3}\)=600

Answer E
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Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3   [#permalink] 12 Oct 2018, 17:05
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