tickets of a program at college cost $4 for general admission or $3 with a student ID. if 180 people paid to see a performance and $615 was collected, how many of each type of ticket were sold?

Question

Mathematics

Riya Preston

29 April, 01:42

tickets of a program at college cost $4 for general admission or $3 with a student ID. if 180 people paid to see a performance and $615 was collected, how many of each type of ticket were sold?

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Answers (1)

Know the Answer?

James Yu · Answer 1

75 general

105 student ID

Step-by-step explanation:

(it's a system)

4x+3y=615

x+y=180

(system as well)

4x+3y=615

x=180-y

4 (180-y) + 3y=615

720-4y+3y=615

-y=-105

y=105

x+105=180

x=180-105

x=75