Ken got his first job at the local supermarket. He made $140 for his first week of work. He worked for 20 hours. if Ken got a one dollar raise and made $120 right and solve an equation to find how many hours he worked.

Answer 1

Let's denote Ken's original hourly wage as x. With this wage, he made $140 for 20 hours of work:

$x \cdot 20 = 140$

If he receives a $1 raise, his new hourly wage will be x + 1. With this new wage, he makes $120 for a certain number of hours of work:

$(x+1) \cdot \text{hours} = 120$

To find out how many hours Ken worked, we can solve these two equations simultaneously.

From the first equation, we have:

$x = \frac{140}{20} = 7$

Substitute x = 7 into the second equation:

$(7+1) \cdot \text{hours} = 120$

$8 \cdot \text{hours} = 120$

$\text{hours} = \frac{120}{8} = 15$

Ken worked for 15 hours.