Question

associate in a department store earns a commission on each suit and each pair of shoes sold. One week, she earned $47 in commission for selling 3 suits and a pair of shoes. The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. How much commission does she earn for selling each suit and each pair of shoes? Solve by substitution.

Answer 1

Answer: the commission that she earns for selling each suit is $13

the commission that she earns for selling each pair of shoes is $8

Step-by-step explanation:

Let x represent the commission that she earns for selling each suit.

Let y represent the commission that she earns for selling each pair of shoes.

One week, she earned $47 in commission for selling 3 suits and a pair of shoes. It means that

3x + y = 47 - - - - - - - - - - 1

The next week, she earned $107 in commission for selling 7 suits and 2 pairs of shoes. It means that

7x + 2y = 107 - - - - -- - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

6x + 2y = 94

7x + 2y = 107

-x = -13

x = 13

Substituting x = -13 ,into equation 1, it becomes

3×13 + y = 47

39 +y = 47

y = 47 - 39 =

y = 8