mayelarubalcava
Answered

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If your income is [tex]$820[/tex] a month and you plan to budget [tex]\frac{1}{2}[/tex] of your income for rent and [tex]\frac{3}{10}[/tex] of your income for food, how much do you plan to spend each month on these two items? Simplify your answer.

Sagot :

GinnyAnswer
Certainly! Let's go through the problem step by step.

Step 1: Determine the monthly income.
- The monthly income is given as [tex]$820. Step 2: Calculate the amount to be spent on rent. - You plan to spend \(\frac{1}{2}\) of your income on rent. - To find the amount to be spent on rent: \[ \text{Rent Amount} = \frac{1}{2} \times 820 = 410 \] Step 3: Calculate the amount to be spent on food. - You plan to spend \(\frac{3}{10}\) of your income on food. - To find the amount to be spent on food: \[ \text{Food Amount} = \frac{3}{10} \times 820 = 246 \] Step 4: Calculate the total amount planned to be spent on rent and food. - To find the total amount planned to be spent on both rent and food: \[ \text{Total Amount} = \text{Rent Amount} + \text{Food Amount} = 410 + 246 = 656 \] Summary: - You plan to spend $[/tex]410 on rent each month.
- You plan to spend [tex]$246 on food each month. - The total amount you plan to spend each month on rent and food is $[/tex]656.

These calculations show how you distribute your monthly income of $820 between rent and food.
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