Question 327016: If you multiply the sale price per box times the number of boxes, that's your total price. But remember, these boxes are on sale. The regular price per box is the same as the number of boxes. Your total price will be 75 times the amount you are saving on each box. When you add the regular price for each box to my sale price for each box, the result is 7 time the amount you are saving on each box. How many boxes are there, and what sale price for each box?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! let n = no. boxes
let s = sale price per box
let r = reg price per box
:
If you multiply the sale price per box times the number of boxes, that's your total price.
ns = total price
:
But remember, these boxes are on sale. The regular price per box is the same as the number of boxes.
n = r
:
Your total price will be 75 times the amount you are saving on each box.
ns = 75(r-s)
replace n with r
rs = 75r - 75s
:
When you add the regular price for each box to my sale price for each box, the result is 7 time the amount you are saving on each box.
r + s = 7(r-s)
r + s = 7r - 7s
s + 7s = 7r - r
8s = 6r
s =  r
s = .75r
:
In equation; rs = 75r - 75s, replace s with .75r
.75r*r = 75r - 75(.75r)
.75r^2 = 75r - 56.25r
Divide thru by r
.75r = 75 - 56.25
.75r = 18.75
r = 
r = 25
then
$25 = reg price and 25 is the no. of units
Find the sale price
s = .75r
s = .75(25)
s = $18.75 is the sale price
:
Check solution in the statement:
"Your total price will be 75 times the amount you are saving on each box."
25(18.75) = 75(25-18.75)
468.75 = 75*6.25
468.75 = 468.75, confirms our solution of
reg price: $25
no. units: 25 ea
sale price: $18,75
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