Solve each problem.

Aira has a monthly budget that breaks down as follows:
30
%
30% for rent,
10
%
10% for food,
15
%
15% for utilities,
25
%
25% for savings,
5
%
5% for entertainment, and
15
%
15% for personal items. Aira has a net income of
$
3500
$3500 each month.

Calculate the amount of money that Aira has each month for personal items.

Aira has $
for personal items.

(b)
Last month Aira spent
$
60
$60 on entertainment. What percent of her monthly income did she spend on entertainment?

Aira spent approximately
% of her income on entertainment.

(c)
Aira recently received a promotion at work and now has a new net income of
$
4250
$4250. How much can she now afford for rent in order to keep spending only
30
%
30% of her net income on rent?

Aira can afford $
for rent each month.

1 answer

Let's break down the calculations step by step.

(a) Personal Items

Aira allocates 15% of her monthly income for personal items.

To find out how much this is, you can calculate 15% of her monthly income of $3500.

\[ \text{Personal Items} = 15% \times 3500 = 0.15 \times 3500 = 525 \]

Aira has $525 for personal items.

(b) Spending on Entertainment

To find out what percent of her income Aira spent on entertainment, you can use the formula:

\[ \text{Percent spent on entertainment} = \left( \frac{\text{Amount spent on entertainment}}{\text{Monthly income}} \right) \times 100 \]

Given that she spent $60 on entertainment, we calculate:

\[ \text{Percent spent on entertainment} = \left( \frac{60}{3500} \right) \times 100 \]

Calculating this gives:

\[ \text{Percent spent on entertainment} = \left( 0.01714 \right) \times 100 \approx 1.71% \]

Aira spent approximately 1.71% of her income on entertainment.

(c) New Rent Amount with Increased Income

Now Aira has a new net income of $4250, and she wants to spend 30% of this on rent.

To find how much she can afford for rent, calculate 30% of $4250:

\[ \text{Rent amount} = 30% \times 4250 = 0.30 \times 4250 = 1275 \]

Aira can afford $1275 for rent each month.

Summary

  • (a) Aira has $525 for personal items.
  • (b) Aira spent approximately 1.71% of her income on entertainment.
  • (c) Aira can afford $1275 for rent each month.