Kayla spends $48 on gym clothes. She buys at least one of each item. Shorts cost $16, T-shirts cost $8, and socks cost $2 a pair. How many ways can Kayla spend $48 on her gym clothes?
She buys at least one of each, so if we make a chart, there can't be
any zeros.
S + T + Sox = 48
so number of purchases possible:
S T Sox
1 1 12
1 2 8
1 3 4
1 4 0 ---- not possible
2 1 4
2 2 0 ---- not possible
So I count 4 ways, unless you can see other cases
16 s + 8 t + 2 sock = 48
well if she buys 1 s , 32 left
...1 t that is 24 left
---> 12 sock
... 2 t that is 16 left
----> 8 sock
...3 t that is 8 left
----> 4 sock
now try 2 shorts for 32, now 16 left
.... 1 t that is 8 left
-----> 4 sock
2 ts leaves NOthing for socks
so count the arrows above (I count 4)