1. a vendor sells pretzels and drinks at a corner stand. he charges $2.25 for a pretzel and $1.50 for a drink. one day, the vendor made a total of $463.50 by selling a total of 257 items. (a) write a system of equations to represent the situation. (b) how many pretzels and how many drinks did the vendor sell? show your work.

A)
I:2.25*pretzels+1.5*drinks=463.50
II:pretzels+drinks=257

b)
with II:
pretzels+drinks=257
pretzels=257-drinks

substitute pretzels=257-drinks into I:
2.25*pretzels+1.5*drinks=463.50
2.25*(257-drinks)+1.5*drinks=463.50
2.25*257-2.25*drinks+1.5*drinks=463.50
-0.75*drinks=463.5-2.25*257
0.75*drinks=114.75
drinks=114.75/0.75=153

in II:
pretzels=257-drinks
pretzels=257-153=104

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