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02 May 2025, 06:54
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At a small café, only pizza and burgers are sold. Was the ratio of pizzas to burgers sold on Sunday greater than 4?
(1) Fewer than 18% of the items sold on Sunday were burgers.
(2) More than \(\frac{24}{31}\) of the items sold on Sunday were pizzas.
(1) Fewer than 18% of the items sold on Sunday were burgers.
(2) More than \(\frac{24}{31}\) of the items sold on Sunday were pizzas.
02 May 2025, 06:54
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Official Solution:
At a small café, only pizza and burgers are sold. Was the ratio of pizzas to burgers sold on Sunday greater than 4?
If 80% of the sold items were pizzas and 20% were burgers, the ratio of pizzas to burgers would be exactly 4 to 1. Therefore, for the ratio to be greater than 4, more than 80% of the sold items must be pizzas.
(1) Fewer than 18% of the items sold on Sunday were burgers.
This implies that more than 82% of the items sold were pizzas, thus the ratio of pizzas to burgers is greater than 4. Sufficient.
(2) More than \(\frac{24}{31}\) of the items sold on Sunday were pizzas.
Since \(\frac{24}{31} \approx 0.77\), the statement implies that more than 77% of the sold items were pizzas. However, we do not know whether this percentage exceeded the 80% threshold required for the ratio to be greater than 4. Not sufficient.
Answer: A
At a small café, only pizza and burgers are sold. Was the ratio of pizzas to burgers sold on Sunday greater than 4?
If 80% of the sold items were pizzas and 20% were burgers, the ratio of pizzas to burgers would be exactly 4 to 1. Therefore, for the ratio to be greater than 4, more than 80% of the sold items must be pizzas.
(1) Fewer than 18% of the items sold on Sunday were burgers.
This implies that more than 82% of the items sold were pizzas, thus the ratio of pizzas to burgers is greater than 4. Sufficient.
(2) More than \(\frac{24}{31}\) of the items sold on Sunday were pizzas.
Since \(\frac{24}{31} \approx 0.77\), the statement implies that more than 77% of the sold items were pizzas. However, we do not know whether this percentage exceeded the 80% threshold required for the ratio to be greater than 4. Not sufficient.
Answer: A
01 Dec 2025, 05:04
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I did not quite understand the solution. The reason why I didn't select A only because - B says more than 24/31 and you can't sell decimal values of pizzas so it has to be an integer, therefore I considered 25/31 for pizzas
that is 25 pizzas and 6 burgers which has the ratio higher than 4. So I selected D.
Please help with where I am wrong.
that is 25 pizzas and 6 burgers which has the ratio higher than 4. So I selected D.
Please help with where I am wrong.
