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A seasoning blend is 
4% onion powder, by mass.
How much pure onion powder should they include in a 
72g bottle to make the final blend have 
20% onion powder?
g

A seasoning blend is 4% 4 \% onion powder, by mass.\newlineHow much pure onion powder should they include in a 72 g 72 \mathrm{~g} bottle to make the final blend have 20% 20 \% onion powder?\newlineg

Full solution

Q. A seasoning blend is 4% 4 \% onion powder, by mass.\newlineHow much pure onion powder should they include in a 72 g 72 \mathrm{~g} bottle to make the final blend have 20% 20 \% onion powder?\newlineg
  1. Calculate Final Amount: Determine the final amount of onion powder needed for the 2020% concentration in a 72g72g bottle.\newlineTo find out how much onion powder is needed for the blend to be 2020% onion powder, we multiply the total mass of the blend by the desired percentage (expressed as a decimal).\newlineCalculation: 72g×20%=72g×0.2072g \times 20\% = 72g \times 0.20\newlineMath error check:
  2. Calculate Amount Needed: Calculate the amount of onion powder needed.\newline72g×0.20=14.4g72g \times 0.20 = 14.4g\newlineThis is the total amount of onion powder that needs to be in the 72g72g bottle to make the blend 20%20\% onion powder.\newlineMath error check:
  3. Determine Current Amount: Determine the amount of onion powder currently in the blend.\newlineSince the blend is initially 4%4\% onion powder, we calculate how much onion powder is in there already.\newlineCalculation: 72g×4%=72g×0.0472g \times 4\% = 72g \times 0.04\newlineMath error check:
  4. Calculate Current Amount: Calculate the current amount of onion powder in the blend.\newline72g×0.04=2.88g72g \times 0.04 = 2.88g\newlineThis is the amount of onion powder already present in the blend.\newlineMath error check:
  5. Calculate Additional Amount: Calculate the additional amount of onion powder needed.\newlineTo find out how much more onion powder is needed, subtract the amount already present from the total amount required.\newlineCalculation: 14.4g2.88g=11.52g14.4\text{g} - 2.88\text{g} = 11.52\text{g}\newlineMath error check:

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