Problema Solution

250 shoes sold of 2 styles. One cost 79.50, other 89.95. Total was 29,604. How many of each pair sold in the week?

Answer provided by our tutors

Style 1 shoes X

style 2 shoes Y

Total shoes sold x+y= 250

which can be written as x=250-y

Cost of style 1 shoes 79.50

Cost of style 2 shoes 89.95

Total cost 29604

Which is

79.5x+89.95y=29604

79.5(250-y)+89.95y=29604

19875-79.5y+89.95y=29604

10.45y=9729

Y=931

X=250-931

X=-681