On Father's Day, Diana wanted to buy a shirt and a tie for her father. 4 ties and 5 shirts cost $375. A shirt cost $12 more than a tie. What is the cost of a tie?
The Question says: 4t + 5s = 375
The Question also says: s = t+12
Now, we can substitute the value of s and our equation will become:
4t + 5(t+12) = 375.
We can easily solve this:
4t + 5(t+12) = 375
4t + 5t + 60 = 375
9t = 375-60
9t = 315
t = 35
Therefore, a tie cost $35.