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24 Jan 2025, 01:30
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D
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Difficulty:
15%
(low)
Question Stats:
83% (00:52) correct
17%
(01:17)
wrong
based on 72
sessions
History
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Time
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A new Coffee Bean & Tea Leaf coffee drink consists only of certain amounts of espresso and sugar. What is the ratio of espresso to sugar in the new drink?
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
(2) There are 40 ounces of espresso in 70 ounces of the new drink.
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
(2) There are 40 ounces of espresso in 70 ounces of the new drink.
24 Jan 2025, 02:00
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Problem:
Find the ratio of espresso to sugar in the new drink.
Statement (1):
- 15 ounces of sugar in 35 ounces of the drink.
- The remaining 35 - 15 = 20 ounces is espresso.
- Ratio = Espresso : Sugar = 20 : 15 = 4 : 3.
- Sufficient.
Statement (2):
- 40 ounces of espresso in 70 ounces of the drink.
- The remaining 70 - 40 = 30 ounces is sugar.
- Ratio = Espresso : Sugar = 40 : 30 = 4 : 3.
- Sufficient.
Conclusion:
Each statement independently gives the same ratio.
Answer: D (Each statement alone is sufficient).
Find the ratio of espresso to sugar in the new drink.
Statement (1):
- 15 ounces of sugar in 35 ounces of the drink.
- The remaining 35 - 15 = 20 ounces is espresso.
- Ratio = Espresso : Sugar = 20 : 15 = 4 : 3.
- Sufficient.
Statement (2):
- 40 ounces of espresso in 70 ounces of the drink.
- The remaining 70 - 40 = 30 ounces is sugar.
- Ratio = Espresso : Sugar = 40 : 30 = 4 : 3.
- Sufficient.
Conclusion:
Each statement independently gives the same ratio.
Answer: D (Each statement alone is sufficient).
24 Jan 2025, 03:07
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We are given that a drink only contains espresso(e) and sugar()s.
We need to find e/s
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
This gives s/(e+s) = 15/35
Hence inversing the fractions, we get:
(e+s)/s = 35/15
Hence e/s+1 = 35/15
Hence e/s = 20/15
Hence sufficient
(2) There are 40 ounces of espresso in 70 ounces of the new drink.
This gives e/(e+s) = 40/70
Inversing we get:
(e+s)/e = 7/4
1+s/e= 7/4
Hence s/e =3/4
Therefore e/s = 4/3
Hence sufficient
Hence both (1) and (2) are individually sufficient.
IMO Ans D
We need to find e/s
(1) There are 15 ounces of sugar in 35 ounces of the new drink.
This gives s/(e+s) = 15/35
Hence inversing the fractions, we get:
(e+s)/s = 35/15
Hence e/s+1 = 35/15
Hence e/s = 20/15
Hence sufficient
(2) There are 40 ounces of espresso in 70 ounces of the new drink.
This gives e/(e+s) = 40/70
Inversing we get:
(e+s)/e = 7/4
1+s/e= 7/4
Hence s/e =3/4
Therefore e/s = 4/3
Hence sufficient
Hence both (1) and (2) are individually sufficient.
IMO Ans D
