A man has $420 left after spending 5/12 of his salary. What is his total salary?

A man has $420 left after spending 5/12 of his salary. What is his total salary?

• A. $175
• B. $245
• C. $720
• D. $1,008

Answer: (C)

To determine the total salary of the man, we can start by interpreting the information provided in the problem. We know that the man has $420 remaining after spending a fraction of his salary. Specifically, he spent 5/12 of his salary. Let’s denote the total salary as S. When he spent 5/12 of his salary, he was left with the remaining amount, which is the total salary minus what he spent. This can be expressed in an equation: Remaining amount = Total salary - Amount spent Given that the remaining amount is $420, we can replace these values in the equation: 420 = S - (5/12)S This can be rewritten by combining the terms on the right side: 420 = (1 - 5/12)S 420 = (12/12 - 5/12)S 420 = (7/12)S To isolate S, we can multiply both sides of the equation by 12/7: S = 420 * (12/7) Now we can perform the multiplication: S = 420 * 12 = 5040 S = 5040 / 7 = 720 Thus, the total salary is $720.

To determine the total salary of the man, we can start by interpreting the information provided in the problem. We know that the man has $420 remaining after spending a fraction of his salary. Specifically, he spent 5/12 of his salary.

Let’s denote the total salary as S. When he spent 5/12 of his salary, he was left with the remaining amount, which is the total salary minus what he spent. This can be expressed in an equation:

Remaining amount = Total salary - Amount spent

Given that the remaining amount is $420, we can replace these values in the equation:

420 = S - (5/12)S

This can be rewritten by combining the terms on the right side:

420 = (1 - 5/12)S

420 = (12/12 - 5/12)S

420 = (7/12)S

To isolate S, we can multiply both sides of the equation by 12/7:

S = 420 * (12/7)

Now we can perform the multiplication:

S = 420 * 12 = 5040

S = 5040 / 7 = 720

Thus, the total salary is $720.