Question

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

Answer 1

$ 2400

Explanation:

• Nancy spends 1/3 of her monthly salary on rent, 0.1 on her car payment, 1/12 on food, and 20% on other bills.
• The total amount she spends on these expenses can be calculated as follows:

Total expenses = (1/3)S + 0.1S + (1/12)S + 0.2S

• Given that she has $680 left for other expenses, we can set up the equation:

S - [(1/3)S + 0.1S + (1/12)S + 0.2S] = 680

• To simplify the equation, let's find a common denominator for the fractions:

S - [(4/12)S + (1/10)S + (1/12)S + (2/10)S] = 680

• Combine like terms.

S - [(40/120)S + (12/120)S + (10/120)S + (24/120)S] = 680

• Simplify the fraction inside the brackets

S - [(86/120)S] = 680

• Multiplying both sides by the denominator (120) to eliminate the fraction:

120S - 86S = 680 * 120

• Simplify.

34S = 81600

• Divide both sides by 34 to solve for S:

S = 81600 / 34

S ≈ 2400

Therefore, the correct monthly salary for Nancy is approximately $2400.

Answer 2

• $2400

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Let the total amount of salary be x.

According to the given information we can set up an equation:

• (1/3)x + 0.1x + (1/12)x + 0.2x + 680 = x
• (4/12)x + (1/12)x + 0.3x + 680 = x
• x - (5/12)x - 0.3x = 680
• 0.7x - (5/12)x = 680
• (7/10)x - (5/12)x = 680
• (42/60)x - (25/60)x = 680
• (17/60)x = 680
• x = 680*60/17
• x = 2400

Nancy's monthly salary is $2400.