A factory produces a mix of feathers for filling pillows that constitutes 42% pigeon feathers, 32% goose feathers, and the rest are ostrich feathers.
The prices of the feathers per kg are:
What is the price per kg of the mix?
We have hundreds of course questions with personalized recommendations + Account 100% premium
A factory produces a mix of feathers for filling pillows that constitutes 42% pigeon feathers, 32% goose feathers, and the rest are ostrich feathers.
The prices of the feathers per kg are:
What is the price per kg of the mix?
To solve this problem, we'll calculate the weighted average price per kilogram of the feather mix:
Therefore, the price per kilogram of the feather mix is \63.82\).
\( 63.82
Norbert buys some new clothes.
When he gets home, he decides to work out how much each outfit cost him on average.
What answer should he come up with?
Percentages are actually fractions out of 100! When calculating, 42% means 42/100 = 0.42. Using 42 instead of 0.42 gives you an answer that's 100 times too big.
Since all percentages must add up to 100%, subtract the known ones: 100% - 42% - 32% = 26% ostrich feathers. Always check that your percentages total 100%!
A weighted average gives more importance to items that make up larger portions of the mix. Each price is multiplied by its percentage, then all products are added together.
Yes! You could imagine 100 kg of mix: 42 kg pigeon, 32 kg goose, 26 kg ostrich. Then calculate: (42×95) + (26×6,382 for 100 kg = $63.82 per kg.
Your answer should be between the lowest and highest individual prices. Since prices range from 95, an answer of $63.82 makes sense!
Get unlimited access to all 18 Weighted Average questions, detailed video solutions, and personalized progress tracking.
Unlimited Video Solutions
Step-by-step explanations for every problem
Progress Analytics
Track your mastery across all topics
Ad-Free Learning
Focus on math without distractions
No credit card required • Cancel anytime