Anyone know how to do this using algebra?

[Oracio]

This problem is off page 344 of the KAPLAN GMAT comprehensive Program 2007.

The book suggests that i use back solving, but i am curious as to who i could solve this problem using algebra.

An insurance company provides coverage for a certain dental procedure according to the following rules: the policy pays 80% of the first $1200, and 50% of the cost above $1200. If a patient had to pay $490 of the cost for this procedure himself, how much did the procedure cost:

A $1200
B $1300
C $1500
D $1600
E $1700

[f2001290]

(20/100)1200 + (50/100) X = 490

X = 500

Total Cost = 1200 + 500 = 1700
Hence E

What's the OA

[Oracio]

you got it right. hm, looks like i was on the right track. i just failed to add the 500 to 1200. thanks!