Question

The manager of a theater noted that for every 10 admission tickets sold, the theater sells 3 bags ofpopcorn 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?(A) $1.48(B) $1.58(C) $1.60(D) $1.64(E) $1.70

Answer 1

(A) $1.48

Explanation:

We have been given that a theater sells 3 bags of popcorn at $2.25 each, 4 sodas at $1.50 each, and 2 candy bars at $1.00 each.

First of all, we will find total amount earned by selling all snacks as shown below:

`\text{Amount earned from selling snacks}=3* \$2.25+4* \$1.50+2* \$1.00`

`\text{Amount earned from selling snacks}=\$6.75+\$6.00+$2.00`

`\text{Amount earned from selling snacks}=\$14.75`

Now, we will divide total amount earned by 10 to find the average amount of the snack sales per ticket sold.

`\text{Average amount of the snack sales per ticket sold}=(\$14.75)/(10)`

`\text{Average amount of the snack sales per ticket sold}=\$1.475`

`\text{Average amount of the snack sales per ticket sold}\approx \$1.48`

Therefore, the average (arithmetic mean) amount of the snack sales per ticket sold is $1.48.