Question

Solve each problem.



Marcus has a monthly budget that breaks down as follows:
35
%
35% for housing,
22
%
22% for food,
12
%
12% for utilities,
18
%
18% for savings,
5
%
5% for entertainment, and
8
%
8% for personal items. Marcus has a net income of
$
4200
$4200 each month.



Calculate the amount of money that Marcus has each month for entertainment.



Marcus has $
for entertainment.

(b)
Last month Marcus spent
$
480
$480 on food and going out to eat. What percent of his monthly income did he spend on food?



Marcus spent approximately
% of his income on food.

(c)
Marcus wants to increase the amount he is setting aside for savings from
18
%
18% to
20
%
20%. How much more will he be saving?



Marcus will be saving $
more each month.

Answer 1

To solve each problem, we will carry out the calculations step by step.

(a) Calculate the amount of money that Marcus has for entertainment.

Marcus has a monthly budget of $4200 and allocates 5% for entertainment.

\[
\text{Amount for entertainment} = \text{Net income} \times \text{Percentage for entertainment}
\]
\[
\text{Amount for entertainment} = 4200 \times 0.05 = 210
\]

So, Marcus has **$210** for entertainment.

---

(b) Last month, Marcus spent $480 on food and going out to eat. We need to find what percent of his monthly income he spent on food.

The formula to find the percent spent is:

\[
\text{Percent spent on food} = \left( \frac{\text{Amount spent on food}}{\text{Net income}} \right) \times 100
\]
\[
\text{Percent spent on food} = \left( \frac{480}{4200} \right) \times 100
\]
\[
\text{Percent spent on food} = 0.1142857 \times 100 \approx 11.43
\]

Marcus spent approximately **11.43%** of his income on food.

---

(c) Marcus wants to increase the amount he is setting aside for savings from 18% to 20%.

First, we find the amount he currently saves, then the amount he wants to save, and finally the difference.

Current savings:
\[
\text{Current savings} = 4200 \times 0.18 = 756
\]
New savings:
\[
\text{New savings} = 4200 \times 0.20 = 840
\]
Increase in savings:
\[
\text{Increase in savings} = \text{New savings} - \text{Current savings} = 840 - 756 = 84
\]

Marcus will be saving **$84** more each month.

---

Summary of the results:
- (a) Amount for entertainment: **$210**
- (b) Percent spent on food: **11.43%**
- (c) Additional savings: **$84**