Question

9. A movie theater sells small and large pretzels. A small pretzel costs $2. A large pretzel costs $4.50. A total of 50

pretzels were sold totaling $150.00
a. Write a system of equations that represents this scenario.
b. Solve by hand. SHOW ALL WORK
c. How many small pretzels were sold that night?


can you pls help me answer this question math1​

Answer 1

30 small pretzels were sold that night.

Explanation:

x = small pretzels

y = large pretzels

x + y = 50

2x + 4.5y = 150

x + y - y = 50 - y

x = 50 - y

2(50 - y) + 4.5y = 150

100 - 2y + 4.5y = 150

2.5y = 50

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2.5 2.5

y = 20

x + 20 = 50

x + 20 - 20 = 50 - 20

x = 30