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28 Aug 2018, 10:05
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
90% (01:21) correct
10%
(01:37)
wrong
based on 1017
sessions
History
Date
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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
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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28 Aug 2018, 11:56
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gmat1393
\(3\,\,{\text{teaspoons}}\,\,\,\, \leftrightarrow \,\,\,\,1\,\,\,{\text{tablespoon}}\)
\(4\,\,{\text{tablespoons}}\,\,\,\, \leftrightarrow \,\,\,\,\frac{1}{4}\,\,\,{\text{cup}}\,\,\,\,\,\)
\(\frac{3}{8}cup\,\,\, = \,\,\,\,?\,\,\,{\text{teaspoons}}\)
\(\frac{3}{8}cup\,\,\,\left( {\frac{{4\,\,{\text{tablespoons}}}}{{\frac{1}{4}\,\,\,{\text{cup}}}}\,\,\begin{array}{*{20}{c}}\\
\nearrow \\ \\
\nearrow \\
\end{array}} \right)\,\,\,\,\left( {\frac{{3\,\,{\text{teaspoons}}}}{{1\,\,\,{\text{tablespoon}}}}\,\,\begin{array}{*{20}{c}}\\
\nearrow \\ \\
\nearrow \\
\end{array}} \right)\,\,\,\, = \,\,\,\frac{{3 \cdot 4 \cdot 4 \cdot 3}}{{8 \cdot 1}} = 18\,\,\,\,\,\,\,\,\,\left[ {{\text{teaspoons}}} \right]\)
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.
General Discussion
28 Aug 2018, 10:39
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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.
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.
