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16 Sep 2014, 00:23
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If Mary bought only kiwis, bananas, and lemons at the grocery store in the ratio of 1 : 4 : 7 respectively, how many lemons did she buy?
(1) Mary bought a total of 24 fruits.
(2) Mary bought 8 bananas.
(1) Mary bought a total of 24 fruits.
(2) Mary bought 8 bananas.
16 Sep 2014, 00:23
Kudos
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Official Solution:
If Mary bought only kiwis, bananas, and lemons at the grocery store in the ratio of 1 : 4 : 7 respectively, how many lemons did she buy?
We are given that \(K:B:L = x:4x:7x\), for some positive integer \(x\).
(1) Mary bought a total of 24 fruits.
From the above, we have \(x + 4x + 7x = 24\). Solving for \(x\), we get \(x = 2\). Hence, \(L = 7x = 14\). Sufficient.
(2) Mary bought 8 bananas.
From the above, we have \(4x = 8\), solving for \(x\) yields \(x = 2\). Therefore, \(L = 7x = 14\). This is sufficient.
Answer: D
If Mary bought only kiwis, bananas, and lemons at the grocery store in the ratio of 1 : 4 : 7 respectively, how many lemons did she buy?
We are given that \(K:B:L = x:4x:7x\), for some positive integer \(x\).
(1) Mary bought a total of 24 fruits.
From the above, we have \(x + 4x + 7x = 24\). Solving for \(x\), we get \(x = 2\). Hence, \(L = 7x = 14\). Sufficient.
(2) Mary bought 8 bananas.
From the above, we have \(4x = 8\), solving for \(x\) yields \(x = 2\). Therefore, \(L = 7x = 14\). This is sufficient.
Answer: D
15 Oct 2023, 13:58
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
