If you get 4 bottles of wine, you get a 20% discount. 2 of the bottles are $12.00 each. How expensive do the other two bottles have to be to make the 2 $12.00 bottles "free"?
If they cost $x each, then you need
0.80 (2*12 + 2x) = 2x
.8 ((2)(12)) + .8 (2x) = 2x
19.2 + 1.6x = 2x
1.6x + 19.2 = 2x
1.6x + 19.2 - 2x = 2x - 2x
-.4x + 19.2 = 0
-.4x + 19.2 - 19.2 = 0 - 19.2
-.4x = -19.2
-.4x/-.4 = -19.2/-.4
x = 48
So the two bottles will be expensive by $48 to be able to make the 2 $12.00 bottles "free"
To find out how expensive the other two bottles need to be in order to make the $12.00 bottles "free," we can start by calculating the total cost of the two $12.00 bottles.
2 bottles at $12.00 each = 2 * $12.00 = $<<2*12=24.00>>24.00
Since you get a 20% discount when purchasing 4 bottles, and the goal is to make the $24.00 worth of wine "free," the total cost of the other two bottles needs to equal $24.00.
Let's assume the cost of the first additional bottle is x dollars. Therefore, the cost of the other additional bottle should also be x dollars.
Total cost of all four bottles = Total cost of the two $12.00 bottles + Total cost of the two additional bottles
Since the cost of the two $12.00 bottles is $24.00, we can write the equation:
$24.00 + $24.00 = 4x
Simplifying the equation:
$48.00 = 4x
Dividing both sides of the equation by 4:
x = $<<48/4=12.00>>12.00
Therefore, the other two bottles need to be $12.00 each in order to make the two $12.00 bottles "free."