Melissa bought a new car with 12 optional features to the car. Each optional feature costs either $23.99 or $120.84. If she paid $675.28 for all the optional features, how many of each type did she buy? Write and solve an equation to solve this problem. Show all your work.

Respuesta :

fetures are x and y
x+y=12

23.99x+120.84y=675.28

x+y=12
multiply by -23.99 and add to other equation

-23.99x-23.99y=-287.88
23.99x+120.84y=675.28 +
0x+96.85y=387.4

96.85y=387.4
divde both sides by 96.85
y=4

sub back

x+y=12
x+4=12
minus 4
x=8


8 of the features costing $23.99
4 of the features costing $120.84