Question

A sales associate in a department store earns a commission on each suit and each pair of shoes sold .on week she earned $47 in commission for selling 3 suits and a pair if shoes . the next week, she earned $107 in commission for selling 7 suits and 2 pairs odf shoes. How much commission does she for selling each suit and each pair od shoes? Solve bg substitution

Answer 1

As for this, we have to take in the given equivalents and work with them to get the commission for selling each suit and each pair of shoes.

Let us put first that each suit is represented with a and for each pair of shoes, we represent them with b.

The given equations would be these:
47 = 3a + b
107 = 7a + 2b

Now we use the first equation to use for substitution purposes. We would first determine b in the process. To find b, we would be utilizing the equation
b = 47 - 3a

We then move to substitution.
107 = 7a + 2b
107 = 7a + 2(47 - 3a)
107 = 7a + 94 - 6a
107 - 94 = 7a -6a
13 = a

now that we have the value for a, we then use it to find b.

b = 47 - 3a
b = 47 - 3(13)
b = 47 - 39
b = 8

So the answer would be 13 for each suit and 8 for a pair of shoes.