Use the tables to answer the question.

Sweet SugarWeight (lbs.)Price ($)2.50.7515.04.5030.09.00100.030.00 Super SugarWeight (lbs.)Price ($)3.751.1610.03.1025.07.75110.034.10

Based on the tables showing the price of buying different amounts of two brands of sugar, Suman determined that Sweet Sugar was the better buy based on price alone. How much money per pound will Suman save if he buys the Sweet Sugar brand?

(1 point)

Suman will save $ per pound if he buys the Sweet Sugar brand.

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1 answer

To determine how much Suman will save per pound by buying Sweet Sugar instead of Super Sugar, we need to calculate the price per pound for each brand based on the given weights and prices.

Sweet Sugar:

  • For 2.5 lbs: Price = $0.75
    • Price per pound = $0.75 / 2.5 = $0.30
  • For 15 lbs: Price = $4.50
    • Price per pound = $4.50 / 15 = $0.30
  • For 30 lbs: Price = $9.00
    • Price per pound = $9.00 / 30 = $0.30
  • For 100 lbs: Price = $30.00
    • Price per pound = $30.00 / 100 = $0.30

Super Sugar:

  • For 3.75 lbs: Price = $1.16
    • Price per pound = $1.16 / 3.75 ≈ $0.3093
  • For 10 lbs: Price = $3.10
    • Price per pound = $3.10 / 10 = $0.31
  • For 25 lbs: Price = $7.75
    • Price per pound = $7.75 / 25 = $0.31
  • For 110 lbs: Price = $34.10
    • Price per pound = $34.10 / 110 ≈ $0.3109

Comparison:

  • Sweet Sugar: $0.30 per pound
  • Super Sugar: Approximately $0.31 per pound

Savings Calculation: Savings per pound = Price of Super Sugar - Price of Sweet Sugar
Savings per pound = $0.31 - $0.30 = $0.01

Suman will save $0.01 per pound if he buys the Sweet Sugar brand.