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23 Aug 2024, 20:28
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D
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Difficulty:
5%
(low)
Question Stats:
89% (01:31) correct
11%
(02:12)
wrong
based on 72
sessions
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At a certain coffee shop, each mocha sells for $3.00 and each cappuccino sells for $2.25. In total, the shop sold $180 worth of mochas and cappuccinos over the course of a day. How many mochas did the shop sell?
(1) The shop sold 10 more cappuccinos than it did mochas.
(2) The combined price of all of the cappuccinos sold was equal to the combined price of all of the mochas sold.
(1) The shop sold 10 more cappuccinos than it did mochas.
(2) The combined price of all of the cappuccinos sold was equal to the combined price of all of the mochas sold.
24 Aug 2024, 02:05
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At a certain coffee shop, each mocha sells for $3.00 and each cappuccino sells for $2.25. In total, the shop sold $180 worth of mochas and cappuccinos over the course of a day. How many mochas did the shop sell?
Given: 300m + 225c = 18000
(1) The shop sold 10 more cappuccinos than it did mochas.
This implies that c = m + 10. Together with 300m + 225c = 18000, this gives a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
(2) The combined price of all of the cappuccinos sold was equal to the combined price of all of the mochas sold.
This implies that 300m = 225c. Again, we have a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
Answer: D.
Given: 300m + 225c = 18000
(1) The shop sold 10 more cappuccinos than it did mochas.
This implies that c = m + 10. Together with 300m + 225c = 18000, this gives a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
(2) The combined price of all of the cappuccinos sold was equal to the combined price of all of the mochas sold.
This implies that 300m = 225c. Again, we have a system of two distinct linear equations with two unknowns, which means we can solve for both unknowns and thus answer the question. Sufficient.
Answer: D.
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