Question

If Julie bought 8 T-shirts, she would be short $28. If she bought 4 T-shirts and 3 baseball hats, she would have $17 left. If each hat cost $5, how much money did she have in the beginning?

Answer 1

Suppose Julie has j dollars.
The price of a t-shirt is t dollars
The price of a hat is h dollars


8t = j + 28
4t + 3h = j - 17
h=5, so,

8t - j = 28
4t -j = -32

4t = 60
t = 15
j = 92

So, Julie has $92
8 T-shirts cost $120, so she's $28 short
4 T's + 3 hats = $75, so she has $17 extra

Answer 2

46