A ticket to a concert costs either $12 or $15. A total of 300 tickets are sold, and the total money collected is $4,140. The number of $12-tickets sold are.

The number of $12 tickets sold is 120

Step-by-step explanation: The $12 tickets shall be represented by A while the $15 tickets shall be represented by B. That means from the information provided, A + B = 300 since a total of 300 tickets were sold in all.

Also the total sales from all tickets amounted to $4140. This too can b expressed as 12A + 15B = 4140

So we now have a pair of simultaneous equations which are

A + B = 300 (1)

12A + 15B = 4140 (2)

From equation (1), A = 300 - B

We now substitute for the value of A into equation (2)

12(300 - B) + 15B = 4140

3600 - 12B + 15B = 4140

We collect like terms and we now have

15B - 12B = 4140 - 3600

3B = 540

Divide both sides of the equation by 3

B = 180

We can now calculate for the value of A. Substitute for the value of B into equation (1)

A + 180 = 300

Subtract 180 from both sides of the equation

A = 120.

The $12 tickets were represented by A. That means the $12 tickets sold were 120 pieces.

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

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