Question

Nancy spends 1/3 of her monthly salary on rent, 0.1 on her car payment, 1/12 on food, and 20% on the bills. She has $680 left for other expenses. What is Nancy's monthly salary?

Answer 1

To determine Nancy's monthly salary, combine her expenditure fractions, add the amount left for other expenses, and solve the equation to find that her monthly salary is $2400.

Step-by-step explanation:

To find Nancy's monthly salary, we have to add up all her expenses and the amount she has left for other expenses, and then solve for her total salary. Nancy spends 1/3 of her salary on rent, 0.1 (or 10%) on her car payment, 1/12 on food, and 20% (or 0.2) on the bills.

Let S represent Nancy's salary. The total amount spent is:
1/3 * S (rent) + 0.1 * S (car) + 1/12 * S (food) + 0.2 * S (bills) + $680 (other expenses) = S

All expenses add up to: (1/3 + 0.1 + 1/12 + 0.2) * S + $680 = S

Solving this equation:

(4/12 + 1.2/12 + 1/12 + 2.4/12) * S + $680 = S

(8.6/12) * S + $680 = S

(8.6/12) * S = S - $680

S = $680 / (1 - 8.6/12)

S = $680 / (3.4/12)

S = $680 / 0.2833

S = $2400

Nancy's monthly salary is $2400.