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Question

Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve

Answer 1

L+S = 138

L-S = 42 add the 2 equations to eliminate one variable

2L = 180

L = 180/2 = $90 for the more expensive pair of shoes

Or solve one of the 1st equations for S and substitute into the other equation

S = L-42

L+L-42 = 138

2L = 180

L =90