Two types of tickets are sold to a play. Floor seats cost $45 each and balcony seats cost $25 each. A play sells 107 tickets and makes a total of $3,375. How many of each type of ticket are sold?

floor seats=35

and the balcony seats =72

Step-by-step explanation:

Step one

given data

let the floor seats be x

and the balcony seats be y

so

45x+25y=33751

x+y= 1072

from 2, x= 107-y

put x= 107-y in  1

45(107-y)+25y=3375

4815-45y+25y=3375

collect like terms

-45y+25y= 3375-4815

-20y=-1440

divide both sides by -20

y=72

put y= 72 in eqn 2

x+72=107

x=107-72

x=35

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

the answer is simply just 6n add the two together as they have an n