Question

Catherine plans to spend 1/4 of her next month's income on rent, 1/12 on transportation, 1/6 on food, $530 on other expenses, and save $1000. How much does she spend on food?

a) $500
b) $600
c) $700
d) $800

Answer 1

To find out how much Catherine spends on food, we need to subtract her expenses and savings from her next month's income. However, we cannot determine the exact amount without knowing her income.

Step-by-step explanation:

To find out how much Catherine spends on food, we need to subtract her expenses and savings from her next month's income.

Let's say Catherine's next month's income is x.

Given:

• She plans to spend 1/4 of her income on rent
• She plans to spend 1/12 of her income on transportation
• She plans to spend 1/6 of her income on food
• She plans to spend $530 on other expenses
• She plans to save $1000

We can write the equation:

x - (1/4)x - (1/12)x - (1/6)x - $530 - $1000 = amount spent on food

Simplifying the equation:

Common denominator of 4, 12, and 6 is 12. So, we multiply each term by 12.

12x - 3x - x - 2x - 12($530) - 12($1000) = amount spent on food

12x - 6x - 2x - 12($530) - 12($1000) = amount spent on food

x - $6360 = amount spent on food

To find the value of x, we need more information. We cannot determine the exact amount spent on food without knowing her income.