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 2022-08-01 Answered
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?
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Answers (1)

Arthur Gillespie
Answered 2022-08-02 Author has 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
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-07-23
For a , b , c < 1. Minimize M = a 2 ( 1 2 b ) b + b 2 ( 1 2 c ) c + c 2 ( 1 2 a ) a
My Try: From a b + b c + c a = 1 3 a + b + c < 3
We have: M = a 2 b + b 2 c + c 2 a 2 ( a 2 + b 2 + c 2 )
( a + b + c ) 2 a + b + c 2 ( a 2 + b 2 + c 2 ) 4 ( a b + b c + c a ) + 4 ( a b + b c + c a )
= a + b + c 2 ( a + b + c ) 2 + 4 ( 1 )
Let a + b + c = x ( 3 x < 3 )
We find Min of function y = 2 x 2 + x + 4
And y M i n = 2 + 3 when x = 3
Right or Wrong ?
asked 2022-05-21
A question about how to express a fraction as 1 q 1 + 1 q 2 + + 1 q N
Let x be a positive rational number, strictly between 0 and 1. Prove that there is a finite strictly increasing list of positive integers 2 q 1 < q 2 < < q N such that
x = 1 q 1 + 1 q 2 + + 1 q N .
I have tried many methods, such as mathematical induction. I know it is obvious that 1 m is right for assumption, but when I begin to prove 2 m I feel it is hard to find some patterns for 2 m . Thus, maybe my thoughts are wrong.
Also, I still tried to change the fraction so that the numerator will be smaller and smaller. But I still cannot find a way to lower the numerator. Can someone help me solve the question? Or, can someone give me some hints. I will appreciate you very much!
asked 2022-02-04
How do you simplify the expression 15r16+3r?
asked 2021-11-19
To calculate: The numbers when the difference of two positive numbers is 3 and the difference of their squares is 33.
asked 2022-07-25
The ratio of the weight of an object on Planet A to the weight of the same object on Planet B is 100 to 3. If an elephant weighs 2800 pounds on Planet​ A, find the​ elephant's weight on Planet B.
The​ elephant's weight on Planet B is ?
asked 2022-04-24
If 9.999=10, then is there a general proof for any number that has infinite trailing 9s?
asked 2022-02-02
I gave Maya and Yosief an equal amount of money. Maya spent $20 each day and Yosief spent $25 each day. When Maya had $157 left, Yosief had $82 left. How much money do I give Yosief?