Question

A theater company charges $10.50 per ticket for people of all age groups. If c represents the total number of children who bought tickets and a represents the total number of adults who bought tickets, which expression best represents the total money earned by the company from the sale of tickets?

Answer 1

10.5(c + a) is the correct answer

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Answer 2

The equation t = 10.5(c + a) represents the total money earned by the company from the sale of tickets

Solution:

Given that,

Ticket charged for people of all age groups = $ 10.50 per ticket

Let "c" represents the total number of children who bought tickets

Let "a" represents the total number of adults who bought tickets

Now, let the total money collect be represented by "t"

Number of people bought tickets = number of children bought tickets + number of adults bought tickets

Now the total money earned by company is given as:

Total money earned = cost per ticket x number of people bought tickets

Total money collected = cost per ticket x (number of children bought tickets + number of adults bought tickets)

Substituting the known values we get,

`\mathrm{t}=10.5 *(\mathrm{c}+\mathrm{a})`

t = 10.5(c + a)

Hence, the required equation is t = 10.5(c + a)