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30 Oct 2024, 01:30
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C
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Difficulty:
25%
(medium)
Question Stats:
78% (01:51) correct
22%
(01:53)
wrong
based on 109
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Of the 58 drinks sold at Darlene’s Beverage Shop, 21 are carbonated. How many of the carbonated drinks sold in Darlene’s Beverage Shop are caffeinated?
(1) There are 30 caffeinated drinks sold in Darlene’s Beverage Shop.
(2) Twenty-two of the non-carbonated drinks sold in Darlene’s Beverage Shop are not caffeinated.
(1) There are 30 caffeinated drinks sold in Darlene’s Beverage Shop.
(2) Twenty-two of the non-carbonated drinks sold in Darlene’s Beverage Shop are not caffeinated.
06 Nov 2024, 21:42
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Total drinks = 58
Carbonated drinks = 21
Non-carbonated drinks = 37 (58 - 21)
Let x = number of carbonated drinks that are caffeinated
Statement 1: Total caffeinated drinks = 30
If x = carbonated caffeinated drinks
Then (30 - x) = non-carbonated caffeinated drinks
Statement 1 alone is not sufficient
Statement 2: 22 non-carbonated drinks are not caffeinated
Out of 37 non-carbonated drinks, 22 are not caffeinated
Therefore, 15 non-carbonated drinks (37 - 22) are caffeinated
Statement 2 alone is not sufficient
Using both statements:
Statement 1: Total caffeinated drinks = 30
Statement 2: Non-carbonated caffeinated drinks = 15
Therefore:
x + 15 = 30
x = 15 carbonated drinks are caffeinated
Therefore, answer is (C) : BOTH statements TOGETHER are sufficient to answer the question.
Carbonated drinks = 21
Non-carbonated drinks = 37 (58 - 21)
Let x = number of carbonated drinks that are caffeinated
Statement 1: Total caffeinated drinks = 30
If x = carbonated caffeinated drinks
Then (30 - x) = non-carbonated caffeinated drinks
Statement 1 alone is not sufficient
Statement 2: 22 non-carbonated drinks are not caffeinated
Out of 37 non-carbonated drinks, 22 are not caffeinated
Therefore, 15 non-carbonated drinks (37 - 22) are caffeinated
Statement 2 alone is not sufficient
Using both statements:
Statement 1: Total caffeinated drinks = 30
Statement 2: Non-carbonated caffeinated drinks = 15
Therefore:
x + 15 = 30
x = 15 carbonated drinks are caffeinated
Therefore, answer is (C) : BOTH statements TOGETHER are sufficient to answer the question.
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