Math Problem Statement
The following table gives the calories, fat, and carbohydrates per ounce for three brands of cereal. How many ounces of each brand should be combined to get 659 calories, 5.9 g of fat and 164.8 g of carbohydrates?
CerealCaloriesFat (g)Carbohydrates (g)
All Fiber
50
0
22.0
Frosted Puffs
108
0.1
25.7
Natural Mixed Grain
127
5.5
18.0
All Fiber
oz
Frosted Puffs
oz
Natural Mixed Grain
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Systems of Equations
Formulas
Calories equation: 50x + 108y + 127z = 659
Fat equation: 0x + 0.1y + 5.5z = 5.9
Carbohydrates equation: 22x + 25.7y + 18z = 164.8
Theorems
Solution of Systems of Linear Equations
Suitable Grade Level
Grades 9-12
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