Question

Pin has a monthly budget that breaks down as follows:
50
%
50% for rent,
10
%
10% for food, 20% for utilities,
10
%
10% for savings,
2
%
2% for entertainment, and
8
%
8% for personal items. Pin has a net income of
$
2750
$2750 each month.



Calculate the amount of money that Pin has each month for rent.



Pin has $
for rent.

(b)
Last month Pin spent
$
350
$350 on personal items. What percent of her monthly income did she spend on these items?



Pin spent approximately
% of her income on personal items.

(c)
How much more does Pin spend on food than she does on entertainment?



Pin spends $
more on food each month than on entertainment.

Answer 1

Let's break down Pin's budget step by step.

### (a) Amount for Rent

Pin allocates 50% of her income for rent.

To calculate the amount Pin has for rent:

\[
\text{Rent} = 50\% \text{ of } 2750 = 0.50 \times 2750 = 1375
\]

Thus, **Pin has $1375 for rent.**

### (b) Percentage Spent on Personal Items

Last month, Pin spent $350 on personal items. To find out what percentage this is of her monthly income:

\[
\text{Percentage spent} = \left( \frac{\text{Amount spent}}{\text{Monthly income}} \right) \times 100 = \left( \frac{350}{2750} \right) \times 100
\]

Calculating that gives:

\[
\text{Percentage spent} = \left( \frac{350}{2750} \right) \times 100 \approx 12.7273\% \approx 12.73\%
\]

Thus, **Pin spent approximately 12.73% of her income on personal items.**

### (c) Difference in Spending on Food vs. Entertainment

Pin allocates 10% for food and 2% for entertainment.

1. Amount spent on food:
\[
\text{Food} = 10\% \text{ of } 2750 = 0.10 \times 2750 = 275
\]

2. Amount spent on entertainment:
\[
\text{Entertainment} = 2\% \text{ of } 2750 = 0.02 \times 2750 = 55
\]

Now, we can find out how much more Pin spends on food than on entertainment:

\[
\text{Difference} = \text{Food} - \text{Entertainment} = 275 - 55 = 220
\]

Thus, **Pin spends $220 more on food each month than on entertainment.**

### Summary of Answers:

(a) Pin has **$1375** for rent.

(b) Pin spent approximately **12.73%** of her income on personal items.

(c) Pin spends **$220** more on food each month than on entertainment.