A shopper purchased 8 t shirts and 5 pairs of pants for 220. The next day he purchased 5 t shirts and 1 pair of pants for 112. How much does each t shirt and each pair of pants cost?

Question

anonymous · Answer

Set it up as a system of equations. Let x=t-shirts and y=pants

anonymous · Answer

eq1:
$$8x+5y=220$$ 
                                  eq2:
$$5x+y=112$$
Eleminate one of the variables, which in this case "y" would be an easy choice. 
So, multiply eq.2 by -5  
$$(5x+y=112)-5$$
$$=-25x-5y=-560$$
Now, add that to eq.1:
$$8x+5y=220$$ 
$$-25x-5y=-560$$
=
$$-17x=-340$$
Solve for x, then substitute x into either original eq. and you'll get y