Question

jasmine bought 3 games and 2 dvds for 58. john bought 1 game and 4 dvds for 46. determine the price for 1 game and 1 dvd.

Answer 1

$*) Equations \\ \\ Jasmine: 3g+2d = 58 \\~~~~~~~~~~~~~~~ d=29-1.5g \\ \\ John: 1g+4d = 46 \\ \\ *)~Substituting \\ \\ g+4(29-1.5g)=46 \\ g+116-6g=46 \\ 5g=70 \\ \boxed {g=14} \\ \\ d=29-1.5*14 \\ d=29-21 \\ \boxed {d=8} \\ \\ *) ~Solution \\ \\ x=g+d \\ x=14+8 \\ \boxed {x=22}$