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gmat1393
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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3 x 4 = 12 teaspoons
12 teaspoons = ¼ cup, so it must be more than 12 so we choose E
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1/4 cup = 12 teaspoons
3/8 cup= 12*4*(3/8)=18
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gmat1393
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

MartyTargetTestPrep

I would be so appreciative to learn your view on my question. I first tried starting with 3 teaspoons to convert this into cups:
3 teaspoons * ((1/3) tablespoons/1 teaspoon) * ((1/4) cups/ (4 tablespoons)) , but then I did not know what to do with incorporating the 3/8 cups.
Where did I go wrong, if I wanted to from teaspoons to cups? Thank you for your help :)
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gmat1393
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

MartyTargetTestPrep

I would be so appreciative to learn your view on my question. I first tried starting with 3 teaspoons to convert this into cups:
3 teaspoons * ((1/3) tablespoons/1 teaspoon) * ((1/4) cups/ (4 tablespoons)) , but then I did not know what to do with incorporating the 3/8 cups.
Where did I go wrong, if I wanted to from teaspoons to cups? Thank you for your help :)
What is your rationale for what you did?

It appears that you just "tried" some math without first coming up with a logical plan.

Can you explain what your plan is for answering this question and why it will work?
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MartyTargetTestPrep
woohoo921
gmat1393
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

MartyTargetTestPrep

I would be so appreciative to learn your view on my question. I first tried starting with 3 teaspoons to convert this into cups:
3 teaspoons * ((1/3) tablespoons/1 teaspoon) * ((1/4) cups/ (4 tablespoons)) , but then I did not know what to do with incorporating the 3/8 cups.
Where did I go wrong, if I wanted to from teaspoons to cups? Thank you for your help :)
What is your rationale for what you did?

It appears that you just "tried" some math without first coming up with a logical plan.

Can you explain what your plan is for answering this question and why it will work?

Marty, I know it might sound crazy but somewhere I was thinking that I could start from teaspoons and convert to cups along the way and the units would cancel out. Is the takeaway to start with what you are given (the 3/8 cups in this case) and convert that number to your goal unit measurement (teaspoons in this case)?
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woohoo921
MartyTargetTestPrep
woohoo921
MartyTargetTestPrep

I would be so appreciative to learn your view on my question. I first tried starting with 3 teaspoons to convert this into cups:
3 teaspoons * ((1/3) tablespoons/1 teaspoon) * ((1/4) cups/ (4 tablespoons)) , but then I did not know what to do with incorporating the 3/8 cups.
Where did I go wrong, if I wanted to from teaspoons to cups? Thank you for your help :)
What is your rationale for what you did?

It appears that you just "tried" some math without first coming up with a logical plan.

Can you explain what your plan is for answering this question and why it will work?

Marty, I know it might sound crazy but somewhere I was thinking that I could start from teaspoons and convert to cups along the way and the units would cancel out. Is the takeaway to start with what you are given (the 3/8 cups in this case) and convert that number to your goal unit measurement (teaspoons in this case)?
I think there are two takeaways.

The first is that, yes, starting with the 3/8 cup would work well.

At the same time, there is a second takeaway, and it's that you need to figure out WHY doing so would work well and WHY what you did doesn't work.

Mastering GMAT quant is to a large degree about seeing what's logical, and this simple question is a good venue for developing your mathematical reasoning skills. You could spend 20 minutes considering what's going on here from different angles, trying different ways of getting to the answer, and seeing why they work or don't work.
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1 teaspoon=1/3 tablespoon
1/3 tablespoon= 1/48 cup. That means 1 teaspoon=1/48cup

if; 1 teaspoon - 1/48 cup
x teaspoon - 3/8 cup
x=((3/8)*1)/(1/48)=18 teaspoon

Hence E
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