SOLUTION: Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one small bottles cost?

Question 1092655: Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one small bottles cost?
Found 3 solutions by addingup, MathLover1, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
L = S+4
8L = 12S-24 substitute for L:
8(S+4) = 12S-24
8S+32 = 12S-24 add 24 on both sides and subtract 8S on both sides, and you get:
56 = 4S rewrite to get the unknown on the left:
4S = 56
S = 14 this is the cost of a small bottle.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

let
large bottles:
small bottles :
if large reusable bottles cost $ more than small ones, we have
.......eq.1
if large bottles cost $ less than small ones, we have

.........eq.2
from eq.1 and eq.2 we have

find
.......eq.1

large bottle cost: $
small bottle cost : $

Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!
Large reusable bottles cost $4 more than small ones. Eight large bottles cost $24 less than 12 small ones. How much does one small bottles cost?

Correct answer:
I keep asking every day: What are some of these people doing on here? They have no idea what they're doing and just fail to give these people correct answers.
Besides, they make these simple problems so, so COMPLICATED, and yet end up with a WRONG ANSWER still. It's RIDICULOUS!
This is how you solve this!
Let cost of each small bottle be S
The cost of each large bottle = S + 4
We then get: 8(S + 4) = 12S - 24
8S - 12S = - 24 - 32
- 4S = - 56

Can it get ANY SIMPLER than this?
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