SOLUTION: Your boss is buying gifts for all 20 employees he's buying t-shirts and hats t-shirts cost $12.50 and hats cost $15 his total bill was $272.50 how many of each gift did he buy

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Your boss is buying gifts for all 20 employees he's buying t-shirts and hats t-shirts cost $12.50 and hats cost $15 his total bill was $272.50 how many of each gift did he buy      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1105036: Your boss is buying gifts for all 20 employees he's buying t-shirts and hats t-shirts cost $12.50 and hats cost $15 his total bill was $272.50 how many of each gift did he buy
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
let t-shirts be t and hats be h
---------------------------------
t + h = 20 therefore t = 20 - h
and
12.50t + 15h = 272.50 here, substitute for t
12.50(20 - h) + 15h = 272.50
250 - 12.50h + 15h = 272.50
2.5h = 22.50
h = 9 so he bought 9 hats and 20 - 9 = 11 t-shirts
-------------------------------------------------
Check:
(9 x 15) + (11 x 12.50) = 135 + 137.50 = 272.50 Correct