SOLUTION: Hi Guys here is my problem: the ratio of the cost of a shirt to the cost of a tie is 8:5. if the shirt cost $48 more than the tie, find the cost of the shirt and cost of the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Hi Guys here is my problem: the ratio of the cost of a shirt to the cost of a tie is 8:5. if the shirt cost $48 more than the tie, find the cost of the shirt and cost of the       Log On


   



Question 1072790: Hi Guys

here is my problem:
the ratio of the cost of a shirt to the cost of a tie is 8:5. if the shirt cost $48 more than the tie, find the cost of the shirt and cost of the tie.
I know the answer which is $128 for the shirt and $80 for the tie but I can't figure it out the reasoning

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
s, Shirt price
t, Tie price

system%28s%2Ft=8%2F5%2Cs=t%2B48%29

5s=8t
5%28t%2B48%29=8t
5t%2B240=8t
3t=240
t=240%2F3
t=80
.
.