American Airlines sold a certain number of tickets from Los Angeles to the bay island in Honduras. They charged $120 for flight x and the remaining tickets for $280 for flight y. If the airline sold 59 tickets and collected a total of $12,520 from the sale of those tickets. A) how many tickets of each flight were sold. B) how much money was made from each flight?

y =34

x = 25

Money made from flight x = 3000

Money made from flight y = 9520

Step-by-step explanation:

Tickets sold

59= x+y

Amount of money

120x + 280y = 12520

Using substitution

x = 59-y

120( 59-y) + 280y = 12520

7080 - 120y +280y = 12520

Combine like terms

160y +7080 = 12520

Subtract 7080

160y = 12520-7080

160y =5440

Divide by 160

160y/160 = 5440/160

y =34

Now find x x = 59-y = 59-34 =25

x = 25

Money made from flight x =

120*x = 120*25 =3000

Money made from flight y =

280*y= 280*34=9520

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.