Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s earning per hour for gardening and office work?

She earned $3 more per hour for office work than for gardening.
She earned $4 more per hour for office work than for gardening.
She earned $3 more per hour for gardening than for office work.
She earned $4 more per hour for gardening than for office work

1 answer

To compare Gigi's earnings per hour for gardening and office work, we need to calculate the hourly wage for each type of work.

Gardening:

  • Total earnings: $65
  • Total hours: 5 hours

Earnings per hour for gardening: \[ \text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours}} = \frac{65}{5} = 13 \text{ dollars per hour} \]

Office work:

  • Total earnings: $90
  • Total hours: 9 hours

Earnings per hour for office work: \[ \text{Earnings per hour} = \frac{\text{Total earnings}}{\text{Total hours}} = \frac{90}{9} = 10 \text{ dollars per hour} \]

Now we compare the two earnings per hour:

  • Gardening: $13 per hour
  • Office work: $10 per hour

Now, we can see how much more Gigi earned per hour for gardening compared to office work: \[ \text{Difference} = 13 - 10 = 3 \text{ dollars} \]

Based on this comparison, the correct statement is: She earned $3 more per hour for gardening than for office work.