Alex is planning to have a snack during his break from class. he needs to eat 8 grams of fiber and 12 grams of protein. in the vending machine, he finds three types of packaged snacks: crackers that have 1 g of fiber and 2 g of protein, cookies that have 1 g of fiber and 1 g of protein, and nuts that have 3 g of fiber and 4 g of protein. how many packages of each snack can he eat to obtain his goal?

3 packages of crackers

, 2 packages of cookies

,  1 package of nuts  

Step-by-step explanation:

Types of packaged snacks :

Crackers

Quantity of fibre = 1 gram

Quantity of protein = 2 grams

Cookies

Quantity of fibre = 1 gram

Quantity of protein = 1 gram

Nuts

Quantity of fibre = 3 grams

Quantity of protein = 4 grams

Required quantity of fibre = 8 grams

Required quantity of protein = 12 grams

To find : Number of packages of each snack that he can eat to obtain his goal

Now 3 packages of crackers  contain 3×1=3 grams of fiber and 3×2=6 grams of proteins .

2 packages of cookies  contain 2×1=2 grams of fiber and 2×1=2 grams of proteins .

1 package of nuts  contain 3×1=3 grams of fiber and 1×4=4 grams of proteins

So, total quantity of fibres that he get from three types of packaged snacks = 3g+2g+3g = 8g fiber

Total quantity of protein that he get from three types of packaged snacks  =

6g+2g+4g = 12g proteins

step-by-step explanation:

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