The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags of popcorn at $2.25 each, 4 sodas at $1.50 each, and 2 candy bars at $1.00 each. To the nearest cent, what is the average (arithmetic mean) amount of these snack sales per ticket sold?

Respuesta :

Answer:

$1.475 is the average amount of snack sales per ticket sold.

Step-by-step explanation:

We are given the following in the question:

Number of popcorn bags sold = 3

Cost of  a popcorn bag = $2.25

Total cost of popcorn bag = [tex]2.25\times 3[/tex] = $6.75

Number of soda sold = 4

Cost of  a soda = $1.50

Total cost of soda = [tex]1.50\times 4[/tex] = $6.00

Number of candy bars sold = 2

Cost of  a candy bar = $1.00

Total cost of candy bars =  [tex]1.00\times 2[/tex] = $2.00

Total sales =

Total cost of popcorn + Total cost of soda + Total cost of candy bar

[tex]= 6.75 + 6 + 2\\=\$14.75[/tex]

[tex]\text{Average} = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]

Average amount of snack sales per ticket sold =

[tex]\dfrac{\text{Total sales}}{\text{Number of tickets}} = \dfrac{14.75}{10} = 1.475[/tex]

Thus, $1.475 is the average amount of snack sales per ticket sold.