Question 327016
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 = {{{6/8}}}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 = {{{18.75/.75}}}
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