Problema Solution
A man bought 5 snowboards and 3 goggles for $1150. later he bought 4 snowboards and 4 goggles for $900. how much did each snowboard cost? how much did each gogles cost.
Answer provided by our tutors
let
s = the cost of one snowboard
g = the cost of one goggle
a man bought 5 snowboards and 3 goggles for $1150
5s + 3g = 1150
later he bought 4 snowboards and 4 goggles for $900
4s + 4g = 900
by solving the system of equations
5s + 3g = 1150
4s + 4g = 900
we find
s = - 12.5
g = 237.5
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since s < 0 this means that the snowboards were given for free together with $12.5 per snowboard.
the cost of the goggles is $237.5.