Question

Chad 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, Chad sold $6$ pairs of shoes and $10$ pairs of boots, earning 260$incommission.Today,hesold$1$pairofboots,earningatotalcommissionof$ $20$. How much does Chad earn for the sale of each type of footwear?

• A. Chad earns 20$ for each pair of shoes
• B. Chad earns 20$ for each pair of boots
• C. Chad earns 10$ for each pair of boots
• D. Chad earns 10$ for each pair of shoes

Answer 1

Answer: (B), (D)

Chad earns 20$ for each pair of boots
Chad earns 10$foreachpairofshoesLetcommissiononeachpairshoesbe$ $x$ and each boot be y$

According to question, we have

$6x+10y=260$ ........(i)

$y=20$ .....(ii)

Substituting $y$ in (i), we get

$6x+10\left(20\right)=260\Rightarrow 6x+200=260\Rightarrow 6=60\Rightarrow x=10$

Therefore, commission on each pair of shoes is 10$andonbootsis$ $20$.

So, both options B and D are correct.