Question 1024516
let m = the coins that melvin has.
let p = the coins that philip has.


4/5 of philip's coins are from australia.
this means that 1/5 of philip's coins are from new zealand.


1/13 of melvin's coins are from new zealand.
this means that 12/13 of melvin's coins are from australia.


you know that the total coins from new zealand are 12 and that they are split equally between melvin and philip.


this means that melvin has 6 and philip has 6 coins from new zealand.


since 1/5 of philip's coins come from new zealand, then you get 1/5 * p = 6.
solve for p to get p = 30.


since 1/13 of melvin's coins are from new zealand, then you get 1/13 * m = 6.
solve for m to get m = 78.


philip has 30 coins total.
melvin has 78 coins total.


both of them have 108 coins total.


the breakdown is as follows:


melvin has 6 coins from new zealand and 72 coins from austraila.
1/13 * 78 = 6
12/13 * 78 = 72


philip has 6 coins from new zealand and 24 coins from australia.
1/5 * 30 = 6
4/5 * 30 = 24


if you were to draw a 2 dimensional table, it would look like this:


<pre>
                 m                  p             t
z                6                  6             12
a                72                 24            96
t                78                 30            108

</pre>


m is the number of coins that melvin has.
p is the number of coins that philip has.
z is the number of coins from new zealand.
a is the number of coins from australia.


t column is the total number of australian coins and the total number of new zealand coins.


t row on the bottom is the total number of coins that melvin has and the total number of coins that philip has.