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