SOLUTION: Tom went shopping for summer vacation. His swim trucks cost $9 more than a pair of shorts, and a T-shirt coat $3 less than the shorts. If Tom spent a total of $60 before tax how mu

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tom went shopping for summer vacation. His swim trucks cost $9 more than a pair of shorts, and a T-shirt coat $3 less than the shorts. If Tom spent a total of $60 before tax how mu      Log On


   

Question 1100991: Tom went shopping for summer vacation. His swim trucks cost $9 more than a pair of shorts, and a T-shirt coat $3 less than the shorts. If Tom spent a total of $60 before tax how much did each item cost?
Answer by ikleyn(52905) About Me  (Show Source):
You can put this solution on YOUR website!
.
swim trucks + pair of shorts + T-shirt  = 60  dollars

S           + P              + T        = 60

(P + 9)     + P              + (P + 3)  = 60


3P + 12 = 60  ====>  3P = 60-12 = 48  P = 48%2F3 = 16.


Thus pair of shorts costs $16.  


Then swim trucks cost 16 + 9 = 25 dollars and T-shirt costs  16+3 = 19 dollars.


Check.  16 + 25 + 19 = 60 dollars.   ! Correct !


Answer.  Pair of shorts costs $16.  swim trucks cost 25 dollars.  T-shirt costs  19 dollars.