Final answer:
By allocating the salary percentages to different expenses and solving algebraic equations, we find the monthly salary to be $3000, with $720 spent on transportation and $570 on rent.
Step-by-step explanation:
To solve the problem regarding the man's budgeting and expenses, we need to use basic algebra to determine his monthly salary. First, let's denote his salary as S. If he spent 24% of his salary on transportation, that's 0.24S. We're told he spent 25% of the remaining salary on rent. The remaining after transportation expenses is S - 0.24S = 0.76S. Therefore, the amount spent on rent is 25% of 0.76S, which is 0.25 × 0.76S = 0.19S.
The balance after spending on transportation and rent is given as $1710, which is equal to S - (0.24S + 0.19S) = S - 0.43S = 0.57S. To find the salary, we write the equation 0.57S = 1710 and solve for S. This gives us S = $3000. To determine the amounts spent on transportation and rent, we calculate 0.24 × 3000 = $720 for transportation, and 0.19 × 3000 = $570 for rent.