Problem / game
First name
kaedan and rebbeca
School
st stephen school
Country
Age
14
what other amounts of monry is it possible for alison to change her account balance by?
Any whole numbers
$2+$2-$3=$1
now we have $1 and $2
$2+$2+$2+$2-$3=$5; to make seven add $2 and to make a odd number (using this proccess you willl have all odd numbers)
To make even numbers ($2+$2...)
This method is called Proof by Echaustion
If Alison is only allowed to deposit $3 at a time and withdrawed $7 at a time, will she be able to change her account balance by any total?
7-3-3=1
3+3+3+3-7=2
3
3+3+3+3-7=5
(7-3-3=1) + (7-3-3=1) + (3+3+3-7=2) = 4
by using the methods of making 1-5 you can now make any number.