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20 Dec 2025, 05:27
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Bunuel
Small Smoothie = S = 2 serving
Large Smoothie = L = 3 serving
1)
L + S = 210 / 5 = 42
However we don't know the value of L or S. Not sufficient.
2)
L / L+S = 80/100
While we can derived a relationship between L and S, we can't find the individual values.
Not Sufficent.
Combined
Combined, we know the relationship between L and S from Statement 2, and using statement 1, we can substitute the value to get individual values.
Both statements jointly is sufficient
Option C
20 Dec 2025, 05:42
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At a summer festival, each visitor to a smoothie booth ordered exactly one smoothie, either a small smoothie or a large smoothie. A small smoothie contains 2 servings of fruit, and a large smoothie contains 3 servings of fruit. How many visitors ordered the large smoothie?
Let, number of large smoothies = L
And number of small smoothies = S
Total number of smoothies= T =L+S
Each visitor orders exactly one smoothie.
(1) A total of 210 servings of fruit were used for the smoothies.
3L+2S = 210
We don't know the values of L or S or any relation between them. It is insufficient
(2) 80 percent of the visitors to the smoothie booth ordered the large smoothie.
L=80%(Total) =0.80(L+S)
0.2L=0.8 S or L=4S
We don't know values of L or S. It is insufficient
Both (1)&(2)
3(4S)+2S= 210
14S=210
S=210/14= 15
L=4S =4*15= 60
It is sufficient
C
Let, number of large smoothies = L
And number of small smoothies = S
Total number of smoothies= T =L+S
Each visitor orders exactly one smoothie.
(1) A total of 210 servings of fruit were used for the smoothies.
3L+2S = 210
We don't know the values of L or S or any relation between them. It is insufficient
(2) 80 percent of the visitors to the smoothie booth ordered the large smoothie.
L=80%(Total) =0.80(L+S)
0.2L=0.8 S or L=4S
We don't know values of L or S. It is insufficient
Both (1)&(2)
3(4S)+2S= 210
14S=210
S=210/14= 15
L=4S =4*15= 60
It is sufficient
C
msignatius
20 Dec 2025, 06:32
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Let's not let the fact that Statement I mentions "number of servings" while we have to find the number of large smooths ("or combinations of three servings") confuse us.
With this in mind, let's see how the two Statements stack up.
Statement I: A total of 210 servings of fruit were used. This includes combinations of two-serving "Small Smoothies" and three-serving "Large Smoothies". Now, we can easily see, without knowing the number of small or large smoothies sold, there can be a number of answers to this Statement (also, note that each visitor ordered exactly one smoothie).
This can be 45 small smoothies (90 servings) and 40 large smoothies (120 servings).
This can be 30 small servings (60 servings) and 50 large smoothies (120 servings)
So on and so forth.
So, Statement I alone is not sufficient.
Statement II: We know that 80 percent of the visitors ordered the large smooth. Let's turn this into an equation.
The total number of people who ordered smooths = x.
80% = 4/5x.
4/5x + 1/5x = x (for small and large smoothies, respectively)
And we know 210 fruits were used. The larger ones use 3, the smaller use 2.
This also means, for every 4 large smoothies used, 1 small one is used. And 4 large smoothies will use 4*3 = 12 fruits; and 1 small will use 2*1 = 14.
If we divide 210 by 14, we'll get 15 sets of 4 large and 1 small smoothie, or a total of 60 large smoothies sold.
In other words, Statement II alone is sufficient, or the right answer is B
With this in mind, let's see how the two Statements stack up.
Statement I: A total of 210 servings of fruit were used. This includes combinations of two-serving "Small Smoothies" and three-serving "Large Smoothies". Now, we can easily see, without knowing the number of small or large smoothies sold, there can be a number of answers to this Statement (also, note that each visitor ordered exactly one smoothie).
This can be 45 small smoothies (90 servings) and 40 large smoothies (120 servings).
This can be 30 small servings (60 servings) and 50 large smoothies (120 servings)
So on and so forth.
So, Statement I alone is not sufficient.
Statement II: We know that 80 percent of the visitors ordered the large smooth. Let's turn this into an equation.
The total number of people who ordered smooths = x.
80% = 4/5x.
4/5x + 1/5x = x (for small and large smoothies, respectively)
And we know 210 fruits were used. The larger ones use 3, the smaller use 2.
This also means, for every 4 large smoothies used, 1 small one is used. And 4 large smoothies will use 4*3 = 12 fruits; and 1 small will use 2*1 = 14.
If we divide 210 by 14, we'll get 15 sets of 4 large and 1 small smoothie, or a total of 60 large smoothies sold.
In other words, Statement II alone is sufficient, or the right answer is B
Bunuel
