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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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11 Oct 2018, 03:12
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Question Stats:

87% (01:39) correct 13% (02:31) wrong based on 66 sessions

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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

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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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11 Oct 2018, 03:17
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.

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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11 Oct 2018, 03:25
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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11 Oct 2018, 08:27
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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12 Oct 2018, 18:05
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

Re: If r = 3s, s = 5t, t = 2u, and u ≠ 0, what is the value of rst/u^3   [#permalink] 12 Oct 2018, 18:05
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