To determine how much Suman will save per pound by buying Sweet Sugar over Super Sugar, we first need to calculate the price per pound for each brand.
Sweet Sugar:
- For 2.5 lbs: \( \frac{0.75}{2.5} = 0.30 \) per pound
- For 15 lbs: \( \frac{4.50}{15} = 0.30 \) per pound
- For 30 lbs: \( \frac{9.00}{30} = 0.30 \) per pound
- For 100 lbs: \( \frac{30.00}{100} = 0.30 \) per pound
The price per pound for Sweet Sugar is consistently $0.30 per pound.
Super Sugar:
- For 3.75 lbs: \( \frac{1.16}{3.75} \approx 0.3093 \) per pound
- For 10 lbs: \( \frac{3.10}{10} = 0.31 \) per pound
- For 25 lbs: \( \frac{7.75}{25} = 0.31 \) per pound
- For 110 lbs: \( \frac{34.10}{110} \approx 0.3091 \) per pound
The price per pound for Super Sugar is approximately $0.31 per pound.
Now, we can calculate the savings per pound:
\[ \text{Savings per pound} = \text{Price of Super Sugar} - \text{Price of Sweet Sugar} = 0.31 - 0.30 = 0.01 \]
Thus, Suman will save $0.01 per pound if he buys the Sweet Sugar brand.
Suman will save $ 0.01 per pound if he buys the Sweet Sugar brand.