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.

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

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!