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Solution of this system of equation
- Thread starter zubair
- Start date
That sure is a nice problem you've got there. But what are your thoughts? What have you tried? Please re-read the Read Before Posting thread that's stickied at the top of each sub-forum and comply with the rules found therein. In particular, please share with us any and all work you've done on this problem, even the parts you know for sure are wrong. Thank you.
Assuming you're stuck at the very beginning and didn't show any work because you have none to share, consider the most fundamental of all principles of algebra: If you don't know the value of a variable, give it a name so you can talk about it and work with it. Let \(M\) stand for the number of servings of Muscle Milk and let \(P\) stand for the number of servings of Pure Whey. Then....
Assuming you're stuck at the very beginning and didn't show any work because you have none to share, consider the most fundamental of all principles of algebra: If you don't know the value of a variable, give it a name so you can talk about it and work with it. Let \(M\) stand for the number of servings of Muscle Milk and let \(P\) stand for the number of servings of Pure Whey. Then....
HallsofIvy
Elite Member
- Joined
- Jan 27, 2012
- Messages
- 7,763
First, you should recognize that the question stated says nothing about "carbohydrates" or "Designer Whey" so you can ignore the second column and the first row. Also the problem says nothing about "cost" so you can ignore the fourth (last) column.
The problem asks what combination of "Muscle Milk", which has 32 g of protein per serving and 240 mg of sodium per serving, and "Pure Whey Protein Stack" which has 24 g of protein per serving and 100 mg of sodium per serving, in order to have exactly 640 g of protein and 3200 mg of sodium.
As ksdhart2 suggested, let M be the number of servings of "Muscle Milk" and let P be the number of servings of "Pure Whey Protein Stack". If one serving of "Muscle Milk" provides 32 g of protein, how many grams of protein does M servings provide? Similarly, if one serving of "Pure Whey Protein Snack" provides 24 g of protein, how many grams of protein does P servings provide? The total protein provided is the sum of those two and that must be equal to 640. That gives you one equation in M and P.
Do the same with sodium. That will give you two equation to solve for M and P.
The problem asks what combination of "Muscle Milk", which has 32 g of protein per serving and 240 mg of sodium per serving, and "Pure Whey Protein Stack" which has 24 g of protein per serving and 100 mg of sodium per serving, in order to have exactly 640 g of protein and 3200 mg of sodium.
As ksdhart2 suggested, let M be the number of servings of "Muscle Milk" and let P be the number of servings of "Pure Whey Protein Stack". If one serving of "Muscle Milk" provides 32 g of protein, how many grams of protein does M servings provide? Similarly, if one serving of "Pure Whey Protein Snack" provides 24 g of protein, how many grams of protein does P servings provide? The total protein provided is the sum of those two and that must be equal to 640. That gives you one equation in M and P.
Do the same with sodium. That will give you two equation to solve for M and P.