each year Lizzie's school purchases students agenda books, which are sold in the school store. This, the school purchased 350 books at a cost of $1,137.50 if the school would like to make a profit of $1,500 to help pay for trips and school activities, what is the least amount they can charge for each agenda book? explain how you found your answer
\(charging \ 350\ \ books\ cost \ 1137,50\$\ profit\\\\\ charging\ 1\ book\ cost\ 1137,50\div350=3,25\$\\\\\ x+3,25-new\ price\\\\ (3,25+x)*350=1500\ \ \ |:350\\ 3,25+x=4,28\\ x=4,28-3,25\\ x=1,03\\\\ x+3,25=1,03+3,25=4,28\\\\The\ least\ amount\ thay\ should\ charge\ for\ each\ book\ is\ 4,28\$.\)
we know that
The school paid a unit price ($) per book of
@@MATH_TOKEN_0@@
$\(3.25\) per book.
In order to make a profit of $1,500, the agenda books need to be
sold for a minimum of
@@MATH_TOKEN_2@@
$\(7.54\) per book.
Check
$@@MATH_TOKEN_4@@ brings revenue of
$\(2,639\),
and \((2,639-1,137.50)\) gives profit of
$@@MATH_TOKEN_7@@
therefore
the answer is
$\(7.54\) per book.