Question 66883

Let x= number of caramels in the box
And 30-x=number of chocolates in the box

Now we are told that the cost of the caramels ($0.25x) plus the cost of the chocolates ($0.45(30-x)) must equal $12.50-$3.00=$9.50 in order to give us a profit of $3.00.  So that gives us:


$0.25x+$0.45(30-x)=$9.50  multiplying out

$0.25x+$13.5-$0.45x=$9.50  subtract $13.50 from both sides
$0.25x+$13.50-$13.50-$0.45x=$9.50-$13.50  collecting like terms

-$0.20x=-$4

x=20-------------number of caramels in the box

30-x=30-20=10--------------number of chocolates in the box

CK

$0.25(20)+$0.45(10)=$12.50-$3.00
$5+$4.50=$9.50
$9.50=$9.50

Hope this helps-----ptaylor