The table shows the amount (in g) of protein, carbohydrate, and fat supplied by

Question

The table shows the amount (in g) of protein, carbohydrate, and fat supplied by one unit (100 g) of three different foods. Betty would like to prepare a meal using some combination of these three foods. She would like the meal to contain 15 g of protein, 25 g of carbohydrate, and 3 g of fat. How many units of each food should she use so that the meal will contain the desired amounts of protein, carbohydrate, and fat? Round to 3 decimal places. 0.326 units of Food 1, 0.247 units of Food 2, 0.059 units of Food 3 0.360 units of Food 1, 0.204 urate of Food 2, 0.065 units of Food 3 0.302 units of Food 1, 0.238 units of Food 2, 0.085 units of Food 3 0.280 units of Food 1, 0.192 units of Food 2, 0.164 units of Food 3

Explanation / Answer

Let the contents of each food be x,y and z.

Then she need to take 15g of protein:

15x+35y+25z=15 -----------eq1

25g of carbohydrate:

45x+30y+50z=25 -------------eq2

3g of fat:

6x+4y+1z=3 --------------eq3

Solving the above three eq we get:

x=0.326,y=0.247,z=0.059

Hence option1 is correct.

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