Question

Zach is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certain company. Yesterday, Zach sold 5 pairs of shoes and 9 pairs of boots, earning $185 in commission. Today, he sold 7 pairs of shoes and 9 pairs of boots, earning a total commission of $205. How much does Zach earn for the sale of each type of footwear?

Answer 1

Answer:

Zach earns $10 and for the pair of boots Zach earns $15

Step-by-step explanation:

Let be x the number of pairs of shoes

Let be y the number of pairs of boots

Then we can establish the following system of equations with the data of the statement:

$5x + 9y = 185 \\7x + 9y = 205$

We subtract the second equation from the first equation to eliminate the variable y and solve for x, just like this:

$7x+9y-5x-9y=205-185\\2x=20\\x=\frac{20}{2}\\x=10$

For y replacing in the first equation the value of x and solving for y:

$5.10 + 9y = 185\\9y=185-50\\y=\frac{135}{9}\\y=15$

So for the pair of shoes Zach earns $10 and for the pair of boots Zach earns $15

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