Question

Solve each problem.



Juniper has a monthly budget that breaks down as follows:
40
%
40% for rent,
15
%
15% for food,
18
%
18% for utilities,
15
%
15% for savings,
4
%
4% for entertainment, and
8
%
8% for personal items. Juniper has a net income of
$
3250
$3250 each month.



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



Juniper has $
for rent.

(b)
Last month Juniper spent
$
120
$120 on personal items. What percent of her monthly income did she spend on these items?



Juniper spent approximately
% of her income on personal items.

(c)
Juniper’s utility bills are increasing from
$
585
$585 to
$
600
$600. What percent of her current net income must she set aside for the new utility bills?



Juniper must set aside approximately
%.

Answer 1

Let's solve each part of the problem step by step.

### Part (a): Calculate the amount of money that Juniper has each month for rent.

Juniper allocates 40% of her monthly income for rent. Her monthly income is $3250.

To calculate the amount for rent:
\[
\text{Amount for rent} = \text{Monthly Income} \times \frac{40}{100}
\]
\[
\text{Amount for rent} = 3250 \times 0.40
\]
\[
\text{Amount for rent} = 1300
\]

**Juniper has $1300 for rent.**

### Part (b): What percent of her monthly income did she spend on personal items?

Last month, Juniper spent $120 on personal items. We need to find out what percent this is of her monthly income.

To calculate the percentage:
\[
\text{Percent spent} = \left( \frac{\text{Amount spent on personal items}}{\text{Monthly Income}} \right) \times 100
\]
\[
\text{Percent spent} = \left( \frac{120}{3250} \right) \times 100
\]
\[
\text{Percent spent} = 0.036923 \times 100 \approx 3.69\%
\]

**Juniper spent approximately 3.69% of her income on personal items.**

### Part (c): What percent of her current net income must she set aside for the new utility bills?

Juniper's utility bills are increasing from $585 to $600. To find out what percent $600 is of her monthly income:

To calculate the percentage:
\[
\text{Percent for new utility bills} = \left( \frac{\text{New utility expense}}{\text{Monthly Income}} \right) \times 100
\]
\[
\text{Percent for new utility bills} = \left( \frac{600}{3250} \right) \times 100
\]
\[
\text{Percent for new utility bills} = 0.184615 \times 100 \approx 18.46\%
\]

**Juniper must set aside approximately 18.46%.**

### Summary of Answers:
- (a) Juniper has $1300 for rent.
- (b) Juniper spent approximately 3.69% of her income on personal items.
- (c) Juniper must set aside approximately 18.46%.