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%.