Question

The price of pants is bigger than the price of a shirt by 4$.
Mike bought 10 shirts and 5 pants.
Mike payed 20$ more for the shirts than the pants.
How much does a shirt cost?
How much do pants cost?

Answer 1

Answer: A shirt costs $8 and the pants cost $ 12.

Step-by-step explanation:

Let x = Cost of each shirt, y = Cost of each pant.

As per given, we have

$y-x=4 \ \ \ (i)\\\\ 10x-5y = 20\ \ \ (ii)$

Multiply 5 on both sides of (i), we get

$5y-5x=20 \ \ \ (iii)$

Add (ii) and (iii), we get

$5x=40\\\\\Rightarrow\ x=8$

From (i), y=4+8=12

Hence, a shirt costs $8 and the pants cost $ 12.