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?

Let us assume she bought, types of the optional features that costs $23.99

and types of the optional features that costs $120.84. Then we will have the expression,

This expression gives us the total cost which is $675.28. This implies that,

We were told that that there were 12 optional features. That is,

Make the subject in equation --(2).

Put equation (3) in equation (1).

Expand the bracket to obtain

Group like terms,

Simplify

Solve for x,

Put in equation (3) to find  .

Therefore she bought types of the optional features that costs $23.99

and types of the optional features that costs $120.84.

line or a linear equation graph

step-by-step explanation: