At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the $15{ }^{\text {th }}$ highest price and the $20{ }^{\text {th }}$ lowest price among the prices of the items sold, how many items were sold at the garage sale?

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At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15^{th} highest price and the 20^{th} lowest price among the prices of the items sold, how many items were sold at the garage sale?

Explanation	Calculations	Help
$We create an unknown for the total number of items sold.$	$N = total number of items$	Theory & Tactics Method Card TRANS1-A Click to view full details
$The radio’s price was the 15th highest, so 14 items had higher prices, and it was the 20th lowest, so 19 items had lower prices. Adding these plus the radio gives the total.$	$N = 14 + 1 + 19$

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At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15^{th} highest price and the 20^{th} lowest price among the prices of the items sold, how many items were sold at the garage sale?

Explanation	Calculations	Help
$We create an unknown for the total number of items sold.$	$N = total number of items$	Theory & Tactics Method Card TRANS1-A Click to view full details
$The radio’s price was the 15th highest, so 14 items had higher prices, and it was the 20th lowest, so 19 items had lower prices. Adding these plus the radio gives the total.$	$N = 14 + 1 + 19$

Scroll horizontally to view all columns

34