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

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Answer:

(A) $1.48

Step-by-step 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:

[tex]\text{Amount earned from selling snacks}=3\times \$2.25+4\times \$1.50+2\times \$1.00[/tex]

[tex]\text{Amount earned from selling snacks}=\$6.75+\$6.00+$2.00[/tex]

[tex]\text{Amount earned from selling snacks}=\$14.75[/tex]

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

[tex]\text{Average amount of the snack sales per ticket sold}=\frac{\$14.75}{10}[/tex]

[tex]\text{Average amount of the snack sales per ticket sold}=\$1.475[/tex]

[tex]\text{Average amount of the snack sales per ticket sold}\approx \$1.48[/tex]

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

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