Teresa is a financial planner. She is helping Mateo and Julia review their monthly budget of ​$4000 by using the following circle graph. What is the ratio of money spent on rent to the total amount of the monthly​ budget?

Question

A circle graph titled Monthly Family Budget in Dollars consists of a circle divided into six sectors with labels as follows: Rent, 1600; Utilities, 250; Transportation, 750; Miscellaneous, 500; Charitable Contributions, 150; and Food, 750.
Monthly Family Budget in Dollars
Rent 1600
Utilities 250
Transportation 750
Miscellaneous 500
Charitable Contributions 150
Food 750
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Part 1
The ratio is
  
enter your response here.
​(Type a whole number or a simplified​ fraction.)

Answer 1

To find the ratio of money spent on rent to the total amount of the monthly budget, we need to follow these steps:

1. Identify the amount spent on rent.
2. Identify the total monthly budget.
3. Create the ratio of rent to the total budget.

From the given information:

• Amount spent on rent: $1,600
• Total monthly budget: $4,000

Now we can set up the ratio:

\[ \text{Ratio of money spent on rent to total budget} = \frac{\text{Rent}}{\text{Total Budget}} = \frac{1600}{4000} \]

Next, we simplify the fraction:

\[ \frac{1600}{4000} = \frac{16}{40} = \frac{2}{5} \]

So, the ratio of money spent on rent to the total amount of the monthly budget is:

\[ \frac{2}{5} \]

Thus, the final answer is:

\(\frac{2}{5}\)