Question

last week, lisa sold 20 hand - engraved watch bands, earning a total profit of $105.00. she plans to make 50 engraved watch bands to sell at the community art fair. if she sells all 50 watch bands, how much profit can lisa expect to earn?

Explanation:

Step1: Calculate profit per watch - band

First, find the profit per watch - band when 20 were sold. Let the profit per watch - band be $x$. We know that when 20 watch - bands were sold, the total profit was $105$. So, $x=\frac{105}{20}$.
$x = 5.25$

Step2: Calculate expected profit for 50 watch - bands

Now, to find the profit for 50 watch - bands, multiply the profit per watch - band by 50. Let the expected profit for 50 watch - bands be $y$. Then $y = 5.25\times50$.
$y=262.5$

Answer:

$262.5$