SOLUTION: Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mike is a shoe salesman, and he works on commission. This week, ther

Algebra ->  Equations -> SOLUTION: Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Mike is a shoe salesman, and he works on commission. This week, ther      Log On


   

Question 1173320: Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Mike 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, Mike sold 2 pairs of shoes and 9 pairs of boots, earning $180 in commission. Today, he sold 8 pairs of shoes and 8 pairs of boots, earning a total commission of $216. How much does Mike earn for the sale of each type of footwear?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
2S+9B=180
8S+8B=216; multiply top by -4 and add the two
-8S-36B=-720
-28B=-504
B=$18 for boots
S=$9 for shoes by substituting into first equation.
Check with the second
$72+$144=$216