Basketball concession stand sells a soda for 1.50 a bag of popcorn for 1.00 and a candy bar for 1.25 at one game 11 fewer candy bars were sold than bags of popcorn. that same night the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altoghter. if the concession stand made 164 that night how many of each item were sold?

on2t1inf8b

on2t1inf8b

Answered question

2022-08-01

Basketball concession stand sells a soda for 1.50 a bag of popcorn for 1.00 and a candy bar for 1.25 at one game 11 fewer candy bars were sold than bags of popcorn. that same night the number of sodas sold was 7 more than the number of candy bars and bags of popcorn sold altoghter. if the concession stand made 164 that night how many of each item were sold?

Answer & Explanation

Arthur Gillespie

Arthur Gillespie

Beginner2022-08-02Added 10 answers

soda - x
popcorn - y
candy bar - z
Price: 1 5 x + 1 y + 1 25 z = 164 y = z + 11 x 7 = y + z x = 7 + y + z Plug  y = z + 11 x = 7 + z + 11 + z x = 2 z + 18 Plug x and y in 1 5 x + 1 y + 1 25 z = 164 1 5 ( 2 z + 18 ) + z + 11 + 1 252 = 164 5 25 z + 38 = 164 5 25 z 5 = 126 \Rightarrowz = 126 5 25 = 24 x = 2 ( 24 ) + 18 = 66
soda = 66
popcorn = 35
candy bar = 24

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