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08-07-2017
Mathematics

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at a concession stand, one person purchased 3 drinks a 3 soft pretzels for a total of $9.00. another person purchased 4 drinks and 2 soft pretzels for a total of $8.50. what was the price of one soft pretzel

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musiclover10045 musiclover10045

08-07-2017

d=drinks
p=pretzels
1st eq. 3d+3p=9.00
2nd eq. 4d+2p=8.50

multiply 1st eq by 2

6d+6p=18.00

multiply 2nd eq by 3
12d+6p=25.50
subtract
-6d=-7.50
d=1.25
3p=9.00-3d

3p=9-3.75

3p=5.25
p=1.75
price a pretzel=$1.75

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