document.write( "Question 1151064: Pre-orders for the year cost $38 each, while full price costs $45 each. If 24 students in Mr. Hillmans homeroom purchased yearbooks for a total of $975, how many students pre-ordered and how many bought their yearbook at full price ? \n" ); document.write( "
Algebra.Com's Answer #772683 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "Here is a quick way to solve this problem and many similar problems without algebra -- if, of course, an algebraic solution is not required.

\n" ); document.write( "(1) If all 24 students had purchased the yearbooks with pre-orders, the total cost would have been 24 times $38, or $912. That is $975-$912 = $63 less than the actual total.
\n" ); document.write( "(2) Each full price order costs $45-$38 = $7 more than a pre-order.
\n" ); document.write( "(3) The number of full price orders required to make up the additional $63 is $63/$7 = 9.

\n" ); document.write( "ANSWER: 9 students paid full price; so 24-9=15 students bought the yearbooks with pre-orders.

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