Emily and sophia go to the movie theater and purchase refreshments for their friends.

emily spends a total of $45.50 on 7 drinks and 4 bags of popcorn.

sophia spends a total of $25.50 on 4 drinks and 2 bags of popcorn.

write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

7 d + 4 p = 45.50

4d + 2p = 25.50

bag of popcorn = $1.75

Step-by-step explanation:

Emily's equation:

Sophia's equation

Where:

d = price of a drink

p = price of a bag of popcorn

Solving for p in Sophia's equation

4p =45.50 - 7d

p = (45.50 -7d)/4

p = 11.375 -1.75 d

Replacing the value of "p" in Emily's equation:

4d + 2p = 25.50

4d + 2 (11.375 -1.75 d) =25.50

4d +22.75 -3.5d =25.50

4d-3.5d =25.50-22.75

0.5 d= 2.75

d= 2.75/0.5

d = 5.5 (price of each drink)

Finally, replacing the value of "d" in Emily's equation:

7(5.5) + 4 p =45.5

38.5 +4p =45.5

4p =45.5-38.5

4p =7

p =7/4= $1.75

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!

only 10/60 isn't equivalent

hope this : )