Final answer:
The student's question pertains to determining a man's total monthly income based on his expenditures and the remaining amount. By setting up an algebraic equation factoring in the fractions of the income spent, we can solve for the total monthly income.
Step-by-step explanation:
The question involves solving a problem using basic algebra to determine the man's monthly income. The man spends one-third of his monthly earnings on projects and then one-quarter of the remaining amount on household needs. With ₦15,000 left, we need to calculate his total monthly income.
Let's denote the total monthly income by 'x'. One-third of 'x' is spent on projects, so he has 'x - x/3' left. He goes on to spend one-quarter of the remainder on household needs, which means he spends another '1/4(x - x/3)'. After these expenses, he has ₦15,000 left. The equation we set up would be:
'x - x/3 - 1/4(x - x/3) = ₦15,000'
By solving this equation, we can find out his total monthly earnings.