A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag. There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize weekly profit?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter6: Ratio, Proportion, And Probability
Section6.1: Ratios And Rates
Problem 40E
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A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds
of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B
contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix
C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag.
There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week
to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize
weekly profit?
| bags of mix A, □ bags of mix B and bags of mix C.
Transcribed Image Text:A lawn and garden store creates three different potting mixes sold in 20-pound bags. Mix A contains 12 pounds of peat, 5 pounds of perlite, 3 pounds of organic material, and earns a profit of $2 per 20-pound bag. Mix B contains 10 pounds of peat, 6 pounds of perlite, 4 pounds of organic material, and earns a profit of $5 per bag. Mix C contains 8 pounds of peat, 8 pounds of perlite, 4 pounds of organic material, and earns a profit of $6 per bag. There are 1,216 pounds of peat, 880 pounds of perlite, and 640 pounds of organic material available every week to make these potting mixes. How many 20-pound bags of each mix should be made in order to maximize weekly profit? | bags of mix A, □ bags of mix B and bags of mix C.
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