Problema Solution

A two-piece set of luggage cost $150. If sold , the large bag costs $40 more than the small bag. What are individual costs for each bag?

Answer provided by our tutors

let


l = the cost of the large bag

s = the cost of the small bag


a two-piece set of luggage cost $150


l + s = 150


if sold , the large bag costs $40 more than the small bag


l = 40 + s


by solving the system of equations


l + s = 150

l = 40 + s


we find


l = $95


s = $55


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the cost of the large bag is $95.

the cost of the small bag is $55.