Question

name:
period (circle) 2a 3a 4a 1b 2b 4b
show your complete work.
problem 1: concert ticket sales
a music club sold 180 adult and student tickets for their spring concert.
adult tickets cost $15 each and student tickets cost $9 each.
which equation represents the relationship between the number of adult
tickets sold, a, and the total revenue y, in dollars, from both types of
tickets?
select one answer:
a. 15a + 9y = 180
b. 9a + 15y = 180
c. y = 15a + 9(180 - a)
d. y = 9a + 15(180 - a)
problem 2: bake sale fundraiser
the drama club sold 150 cookies and brownies at their bake sale. cookies
were priced at $3 each and brownies at $5 each.
which equation shows the relationship between the number of cookies
sold, c, and the total money raised, y, in dollars?
select one answer:
a. 3c + 5y = 150
b. 5c + 3y = 150
c. y = 3c + 5(150 - c)
d. y = 5c + 3(150 - c)

Explanation:

Problem 1:

Step1: Find the number of student tickets

Total tickets = 180. Number of adult tickets = \(a\). So number of student tickets = \(180 - a\)

Step2: Calculate revenue from adult and student tickets

Revenue from adult tickets: Each adult ticket costs $15, so revenue is LXI0. Revenue from student tickets: Each student ticket costs $9, so revenue is \(9(180 - a)\). Total revenue \(y=15a + 9(180 - a)\)

Problem 2:

Step1: Find the number of brownies

Total items = 150. Number of cookies = \(c\). So number of brownies = \(150 - c\)

Step2: Calculate money raised from cookies and brownies

Money from cookies: Each cookie costs $3, so money is LXI0. Money from brownies: Each brownie costs $5, so money is \(5(150 - c)\). Total money raised \(y = 3c+5(150 - c)\)

Answer:

Problem 1: C. \(y = 15a + 9(180 - a)\)
Problem 2: C. \(y = 3c + 5(150 - c)\)