Question
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.
Answers
GPT-4o mini
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.
### (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.