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# A certain shop only sells items for a whole number of dollars and nine

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Math Expert
Joined: 02 Sep 2009
Posts: 59561
A certain shop only sells items for a whole number of dollars and nine  [#permalink]

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26 Sep 2019, 04:26
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Difficulty:

85% (hard)

Question Stats:

33% (02:35) correct 67% (02:41) wrong based on 21 sessions

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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.
Math Expert
Joined: 02 Aug 2009
Posts: 8282
A certain shop only sells items for a whole number of dollars and nine  [#permalink]

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26 Sep 2019, 05:53
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Bunuel wrote:
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.

Mrs Jones purchased items at \$x.99, where x differs or could be same for each item.
Total amount <50

(1) She paid \$36.72 for the items that she bought.
Since each item will result in something +0.99, there is a short fall of .01 with each item purchased.
the shortfall to the nearest integer = 37-36.72=0.28, so 28 items

Suff
For these 0.01 to add up to 1 whole number, we require 100 items, since 1/0.01 = 100..
Thus if the items are worth just 0.99, the amount of 100 items will be 99, but our amount <50, so the shortfall to the nearest integer will give us the number of items purchased. So, if it werr 150.72, we could have had two situations, either 151-150.72 or 28 items or 152-150.72 or 128 items

(2) Mrs. Jones did not spend more than \$10.99 for any one item.
Does not give enough info.
Insuff

A
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A certain shop only sells items for a whole number of dollars and nine   [#permalink] 26 Sep 2019, 05:53
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