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.

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