Kristin spent $131 on shirts. Fancy shirts cost $28 and plain shirts cost $15. If she bought a total of 7 of them how many of each kind did she buy?

assume Kristin bought x fancy shirts and y plain shirts:

x+y=7 1

28x+15y=131 2

from 1: x=7-y 3

plug 3 into 2: 28(7-y)+15y=131

196-28y+15y=131

-13y=131-196

y=-65/(-13)=5

x=7-y=7-5=2

Thus Kristin will buy 5 fancy shirts and 2 plain shirts.

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