Tickets for a drumline competition cost $5 at the gate and $3 in advance. One hundred more tickets were sold in advance than at the gate. The total revenue from ticket sales was $1990. How many tickets were sold in advance?

The number of tickets sold at the gate is

The number of tickets sold in advance is  

Step-by-step explanation:

From the question we are told that

 The cost of a tickets at the gate is  

  The cost of a ticket in advance is  

Let the number of ticket sold in the gate be G

Let the number of ticket sold in advance  be   A

From the question we are told that

  One hundred more tickets were sold in advance than at the gate and this can be mathematically represented as

From the question we are told that

  The total revenue from ticket sales was $1990  and this can be mathematically represented as

substituting for  A in the equation above

=>  

Substituting this for G in the above equation

=>    

=>    

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have