The price of a sweater is $5 less than twice the price of a shirt. If four sweaters and three shirts cost $200, find the price of each skirt and each sweater.

I have no idea how to set up these types of equations..... someone please help its due tomorrow and i cant turn it in late
It will kill my grade... please help!!!

1 answer

call r the cost of a sweater
call t the cost of a shirt

from the first fact:
r = 2 t - 5
from the second fact if I understand it:
4 r + 3 t = 200

substitute the first in the second
4 ( 2 t - 5 ) + 3 t = 200
8 t - 20 + 3 t = 200
11 t = 220
t = 20
then r = 2 t - 5 - 40-5 = 35