SOLUTION: CAN SOMEONE EXPLAIN where the extra $1 came from.... I went to the shoe store and the shoes i wanted cost $50 so i went home and got $25 from my mom and $25 from my sister...when

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: CAN SOMEONE EXPLAIN where the extra $1 came from.... I went to the shoe store and the shoes i wanted cost $50 so i went home and got $25 from my mom and $25 from my sister...when      Log On


   



Question 1049560: CAN SOMEONE EXPLAIN where the extra $1 came from....
I went to the shoe store and the shoes i wanted cost $50 so i went home and got $25 from my mom and $25 from my sister...when i go back to the store the shoes came out to $45 instead so now i got $5 left from that $5 my friend ask to hold $3 so now i got $2 so i go home n give my mom $1 and my sister $1 so now i owe them $24 each..ok so if i add the $24+$24 i owe my mom and sister + the $3 i let my friend hold how i got $51 if i started off wit $50

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
The error comes about by being inconsistent in how you account for where the $5 in change went after the purchase of the shoes,
first you used the $5 in change to give to your friend $3 and from remaining $2 you erroneously subtract $1 from what you owe each of your mom and sister ($25 - $1 = $24) (you're counting backwards!) and then you added to that total debt balance of $48 ($24 you owe mom + $24 you owe sister) and the ${{3}}} which you gave to your friend then arrive at the false sum of $51, when you should have correctly and consistently added the $5 change back onto the $45-cost of the shoes so that the correct total balance of $50 would then be realized and accounted for as follows:

BEFORE THE PURCHASE OF THE SHOES
Amount borrowed from mom -- $25
Amount borrowed from sister -- $25
Total borrowed -- $50

-------------------------------------------------------------------------

AFTER THE PURCHASE OF THE SHOES
Cost of shoes -- $ 45
plus $ 5 change:
three dollars to friend -- $3
One dollar to mom -- $1
One dollar to sister -- $1
Total $50

or simply, you add $cost-of-shoes%2B1%28mom%29%2B1%28sister%29%2B3%28friend%29=45%2B1%2B1%2B3=50