Bunuel wrote:
If a school district paid a total of $35 per desk for x desks and a total of $30 per table for y tables, what was the total amount that the district paid for these desks and tables?
(1) The total amount the district paid for the y tables was $900.
(2) x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.
Given: School district paid a total of $35 per desk for x desks and a total of $30 per table for y tables So, the
TOTAL amount paid = 35x + 30y. Target question: What was the total amount that the district paid for these desks and tables?? Statement 1: The total amount the district paid for the y tables was $900. This statement provides no information about x, the number of desks purchased.
Statement 1 is NOT SUFFICIENT
Statement 2: x = 90, and the total amount the district paid for the x desks was 3.5 times the total amount the district paid for the y tables.So, the TOTAL amount the district paid for DESKS = (35)(90) =
$3150We're told that
$3150 is 3.5 times the total amount the district paid for the y tables
So, the TOTAL amount the district paid for TABLES =
$3150/3.5 =
$900So, the TOTAL amount paid for desks AND tables =
$3150 +
$900 =
$4050Since we can answer the
target question with certainty, statement 2 is SUFFICIENT
Answer: B
Cheers,
Brent
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