hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?​

Respuesta :

Answer:

20 games

Step-by-step explanation:

Lets work backwards; *Adding what he gave away or lost*

-Alex started with 16 video games

-Add the games gave to his brother (+2)

-Add the games he sold (+3)

-The number is 3/4 of his games

-Subtract the games he traded with hector (-1/4)

Equation: 16+2+3-6= 3/4 X (variable) *You can choose other than X*

21-6 = 15

15 = 3/4

Take the reciprical of 3/4 which is 4/3 and multiply it by both sides

4/3 x 15 = 3/4 x 4/3

4/3 X 15 = 20!

ALEX STARTED WITH 20 GAMES!