# math

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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?

• math -

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

• math -

46

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