SOLUTION: I need help in trying to set this Word problem up. This is on a class handout as sample questions to expect in a test. Can you please help me to understand first how to set

Question 132335This question is from textbook
: I need help in trying to set this Word problem up.
This is on a class handout as sample questions to expect in a test.
Can you please help me to understand first how to set up the problem and then work it out.
Problem (word)
Chelsea goes to the store and buys two (2) pairs of shoes and four(4) pairs of socks for $109.00.
Lora goes with her and buys three (3) pairs of shoes and five (5) pairs of socks for $160.00
Find the price of a pair of shoes and a pair of socks.
Can you please help in to understand first how to set up the problem and then
how to solve it.
Any help would greatly be appreciated.
Thank You This question is from textbook

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the price of a pair of socks
Let = the price of a pair of shoes
(1)
(2)
multiply (1) by and (2) by
and add the equations

(1)

A pair of socks cost $3.50 and a pair of shoes cost $47.50
check:
(1)

(2)

OK

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