A certain shop only sells items for a whole number of dollar

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A certain shop only sells items for a whole number of dollars and ninety-nine cents. If Mrs. Jones spent less than $50 at the shop, how many items did she buy?

1. She paid $36.72 for the items that she bought.
2. Mrs. Jones did not spend more than $10.99 for any one item.

OA A

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by Ian Stewart » Mon Jul 15, 2019 5:43 am

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For every additional item she buys, the total price will be one additional cent less than a round number of dollars. So if she buys one item, the total price will end in .99, if she buys two items it will end in .98, and so on. So if the price ended in .72, she must have bought 28 items (she can't have bought 128 items or more, because she spent less than $50). So Statement 1 is sufficient. Statement 2 is not sufficient, so the answer is A.
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