Question

WILL GIVE BRAINLIEST 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.

Answer 1

p = pretzels

d = drinks

system of equations

p +d = 257

2.25p + 1.5 d =463.50

solve for d

257 - p = d

2.25 p + 1.5(257-p) = 463.5

distribute

2.25p +385.5 - 1.5p = 463.5

combine like terms

.75p +385.5 = 463.5

subtract 385.5 from each side

.75 p = 78

divide by .75

p =104

d = 257-p

d = 257-104

d =153

Solution: 104 pretzels and 153 drinks