Jonathan needs to earn at least $175 next week and can work at most 20 hours. He earns $10 per hour at his lawn service job and $8 per hour at his job at the gym. Which of the following systems of inequalities represents this situation in terms of the number of hours he will work at his lawn service job, l, and the number of hours he will work at his job at the gym, g, next week?

The correct answer is: 10 l + 8g  175
l + g ≤ 20

Step by-step explanation:
Given:
Amount of money need to be earned by Jonathan = $2500
Maximum hours he can work = 20 hours
Amount earned per hour at lawn service = $10
Amount earned per hour at gym = $8
Step 1:
Let the number of hours he worked at lawn service be l hours and at the gym be g hours.
∴ Earning by at lawn service will be = 10 l
Earning by at gym will be = 8g
Step 2:
The total money earned will be
⇒ 10 l + 8g
Step 3:
As given information, Jonathan needs to earn at least $175.
So, he can earn $175 or more than that
∴ according to inequality

Step 4:
According to the second condition,
Jonathan can work the utmost 20 hours,
So, he can work 20 hours or less than that
∴ according to inequality

Hence, the condition which satisfies both situations will be  and