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Algebra: A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $12.60 per pound should be mixed with 11 pounds of trail mix costing $4.50 per pound to create a mixture worth $8.55 per pound.   The owner needs to mix _________ pounds of chocolate (round to the nearest whole pound - NO COMMAS).

Algebra: A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $12.60 per pound should be mixed with 11 pounds of trail mix costing $4.50 per pound to create a mixture worth $8.55 per pound.   The owner needs to mix _________ pounds of chocolate (round to the nearest whole pound - NO COMMAS).

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter25: Achievement Review—section Two
Section: Chapter Questions
Problem 25AR: Engine pistons and cylinder heads are made of an aluminum casting alloy that contains 4% silicon,...
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Algebra:

A store owner wants to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $12.60 per pound should be mixed with 11 pounds of trail mix costing $4.50 per pound to create a mixture worth $8.55 per pound.

 

The owner needs to mix _________ pounds of chocolate (round to the nearest whole pound - NO COMMAS).

 

NOTE: A similar problem is already solved here. I have attached the screenshot of it. You can use it for reference. 

A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.90 per pound should be mixed with 24 pound of trail mix costing $3.10 per pound to create a mixture worth $4.81. (round to the nearest pound) pounds of chocolate The owner needs to mix Transcribed Image Text: A store owner want to develop a new s by mixing chocolate and trail mix. How many pounds of chocola costing $8.90 per pound should be mixed with 24 pound of trail costing $3.10 per pound to create a mixture worth $4.81. (round nearest pound) The owner needs to mix pounds of chocolate Expert Solution Step 1 Let x be the number of pounds of chocolate needed. We know the total cost is $4.81. According to the given problem, ($8.90) (x) + ($3. 10) (24) = ($4.81). (x + 24) Step 2 On solving further, we get the result as ($8.90) (x) + ($3. 10) (24)=($4.81). (x+24) 8.90x + 74.40=4.81x + 115.44 8.90x4.81x=115.44 - 74.40 4.09x=41.04 41.04 4.09 x=10.03 x≈10 pounds Hence, the owner needs to mix 10 pounds of chocolate. X= WAS THIS HELPFUL?
Transcribed Image Text:A store owner want to develop a new snack mix by mixing chocolate and trail mix. How many pounds of chocolate costing $8.90 per pound should be mixed with 24 pound of trail mix costing $3.10 per pound to create a mixture worth $4.81. (round to the nearest pound) pounds of chocolate The owner needs to mix Transcribed Image Text: A store owner want to develop a new s by mixing chocolate and trail mix. How many pounds of chocola costing $8.90 per pound should be mixed with 24 pound of trail costing $3.10 per pound to create a mixture worth $4.81. (round nearest pound) The owner needs to mix pounds of chocolate Expert Solution Step 1 Let x be the number of pounds of chocolate needed. We know the total cost is $4.81. According to the given problem, ($8.90) (x) + ($3. 10) (24) = ($4.81). (x + 24) Step 2 On solving further, we get the result as ($8.90) (x) + ($3. 10) (24)=($4.81). (x+24) 8.90x + 74.40=4.81x + 115.44 8.90x4.81x=115.44 - 74.40 4.09x=41.04 41.04 4.09 x=10.03 x≈10 pounds Hence, the owner needs to mix 10 pounds of chocolate. X= WAS THIS HELPFUL?
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