Problema Solution

Ten small and twelve medium boxes costs $42. Five small and ten medium boxes cost 429. What is the cost for a small box?

Answer provided by our tutors

let


s = the cost of small box

m = the cost of medium box


10 small and 12 medium boxes costs $42


10s + 12m = 42


5 small and 10 medium boxes cost $429


5s + 10m = 429


by solving the system of equations


10s + 12m = 42

5s + 10m = 429


we find


m = 102


s = -118.2


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we got s = - 118.2 <0 this means the small boxes are for free and if u want to take a small box you will receive $118.2 back.