Question

Orlando worked $6/h one week and $7/h the next week. He worked 5 more hours the second week than the first and earned $347 for the 2 weeks of work. How many hours did he work each week?

Answer 1

24 hours in first week and 29 hours in second week.

Explanation:

Given: Orlando work at $6/h in first week and at $7/h in second week.

Total earning is $347 in both weeks.

Let the number of hours Orlando work in first week be`x` hours

∴ working hours in second week is (x+5) hours

Now, solving to find the number of working hours.

⇒ Total earning= earning in first week+earning in second week.

⇒
`\$ 347= x* 6+(x+5)* 7`

Opening the parenthesis and solving it.

⇒
`\$ 347= 6x+7x+35`

Subtracting both side by 35

⇒
`312= 13x`

∴ x=
`(312)/(13) = 24\ h`

∴ Working hours in first week is 24 hours

Working hours in second week is
`24+5= 29\ h`