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According to the information above, how many teaspoons are equal to 3/

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According to the information above, how many teaspoons are equal to 3/  [#permalink]

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New post 28 Aug 2018, 10:05
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Question Stats:

85% (01:04) correct 15% (01:21) wrong based on 34 sessions

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3 teaspoons = 1 tablespoon
4 tablespoons = 1/4 cup
According to the information above, how many teaspoons are equal to 3/8 cup?

A. 3
B. 4
C. 9
D. 12
E. 18

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Re: According to the information above, how many teaspoons are equal to 3/  [#permalink]

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New post 28 Aug 2018, 10:39
From the given info we can conclude that 12 teaspoons = \(\frac{1}{4}\) Cups or 0.25 Cups.
Now X teaspoons = 3/8 Cups or 0.375 Cups.

Cross multiplying Gives,

12*0.375*4 = X

Or X = 18

E is the answer.
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Re: According to the information above, how many teaspoons are equal to 3/  [#permalink]

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New post 28 Aug 2018, 11:56
gmat1393 wrote:
3 teaspoons = 1 tablespoon
4 tablespoons = 1/4 cup
According to the information above, how many teaspoons are equal to 3/8 cup?

A. 3
B. 4
C. 9
D. 12
E. 18



\(3\,\,{\text{teaspoons}}\,\,\,\, \leftrightarrow \,\,\,\,1\,\,\,{\text{tablespoon}}\)

\(4\,\,{\text{tablespoons}}\,\,\,\, \leftrightarrow \,\,\,\,\frac{1}{4}\,\,\,{\text{cup}}\,\,\,\,\,\)

\(\frac{3}{8}cup\,\,\, = \,\,\,\,?\,\,\,{\text{teaspoons}}\)

\(\frac{3}{8}cup\,\,\,\left( {\frac{{4\,\,{\text{tablespoons}}}}{{\frac{1}{4}\,\,\,{\text{cup}}}}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\,\left( {\frac{{3\,\,{\text{teaspoons}}}}{{1\,\,\,{\text{tablespoon}}}}\,\,\begin{array}{*{20}{c}}
\nearrow \\
\nearrow
\end{array}} \right)\,\,\,\, = \,\,\,\frac{{3 \cdot 4 \cdot 4 \cdot 3}}{{8 \cdot 1}} = 18\,\,\,\,\,\,\,\,\,\left[ {{\text{teaspoons}}} \right]\)

This is a nice example of UNITS CONTROL technique, one of our most powerful tools!

(Arrows indicate licit converters.)

The above follows the notations and rationale taught in the GMATH method.
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Re: According to the information above, how many teaspoons are equal to 3/  [#permalink]

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New post 30 Aug 2018, 18:01
gmat1393 wrote:
3 teaspoons = 1 tablespoon
4 tablespoons = 1/4 cup
According to the information above, how many teaspoons are equal to 3/8 cup?

A. 3
B. 4
C. 9
D. 12
E. 18


We are given the following:

3 teaspoons = 1 tablespoon

4 tablespoons = 1/4 cup

We need to determine how many teaspoons are equal to 3/8 cup. Let’s first convert 3/8 cup to tablespoons:

3/8 cups x 4 tablespoons/(1/4) cup

3/8 x 16 = 6 tablespoons

Next we can convert 6 tablespoons to teaspoons:

6 tablespoons x 3 teaspoons/1 tablespoon = 18 teaspoons

Alternate Solution:

We see that 4 tablespoons = 12 teaspoons = 1/4 cup. To determine the number of teaspoons equal to 3/8 cup, we can set up a proportion:

12 / (1/4) = x / (3/8)

36 / 8 = x / 4

36 = 2x

x = 18 teaspoons

Answer: E
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Re: According to the information above, how many teaspoons are equal to 3/ &nbs [#permalink] 30 Aug 2018, 18:01
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