Answer: The solution to the equation is
.
Explanation:
Doug's hourly wage is $8.80. Joanne's hourly wage is 3/4 of Doug's, which is $8.80 * 3/4 = $6.60.
They are both working the same number of hours, which we'll call 'x'. So, the total amount of money they earn is the sum of their individual earnings:
Doug's earnings: $8.80 * x
Joanne's earnings: $6.60 * x
Together, they need to earn at least $1500. So, we set up the equation:
$8.80 * x + $6.60 * x = $1500
Solving this equation gives us the number of hours (x) they each need to work. The solution to the equation is
, which is approximately 97.4 hours.
So, Doug and Joanne each need to work approximately 97.4 hours to raise at least $1500 for the car repair