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UNO [17]
3 years ago
14

tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. How many adu

lt tickets and student tickets were purchased?
Mathematics
2 answers:
kolbaska11 [484]3 years ago
7 0
<span>x+y=8
7.25x+5.5y=52.75 
x+y=8
</span><span>29x+22y=211 
y=8-x 
29x+22(8-x)=211 
x=5 y=3</span>
nasty-shy [4]3 years ago
3 0
The tickets for adults :x
the tickets for students :y
we have :
x+y=8
7.25x+5.50y=52.75

so x=5 and y=3
there are 5 tickets for adults and 3 tickets for students.


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ycow [4]

Answer:

hat: $12

t-shirt: $8

Step-by-step explanation:

Let the price of 1 hat = h.

Let the price of 1 t-shirt = t.

Julie: h + 2t = 28

Raj: 2h + t = 32

We have a system of 2 equations in 2 variables.

h + 2t = 28

2h + t = 32

Let's use the substitution method to solve the system of equations.

Solve the first equation for h.

h = 28 - 2t

Substitute 28 - 2t for h in the second equation.

2(28 - 2t) + t = 32

56 - 4t + t = 32

56 - 3t = 32

-3t = -24

t = 8

h = 28 - 2t

h = 28 - 2(6)

h = 12

Answer:

hat: $12

t-shirt: $8

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