The commission for selling each suit is $ 13 and commission for selling each pairs of shoes is $ 8
Solution:
Let "a" be the commission earned on each suit
Let "b" be the commission earned on each pair of soes
One week, she earned $47 in commission for for selling 3 suits and a pair of shoes
Therefore, we frame a equation as:
[tex]3 \times a + 1 \times b = 47\\\\3a + b = 47\\\\Isolate\ for\ b\\\\b = 47 - 3a --------- eqn 1[/tex]
The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes
Therefore, we frame a equation as:
[tex]7 \times a + 2 \times b = 107\\\\7a + 2b = 107 ---------- eqn 2[/tex]
Substitute eqn 1 in eqn 2
7a + 2(47 - 3a) = 107
7a + 94 - 6a = 107
a = 107 - 94
Substitute a = 13 in eqn 1
b = 47 - 3(13)
b = 47 - 39
Thus commission for selling each suit is $ 13 and commission for selling each pairs of shoes is $ 8
