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One gram of protein contains 4 calories. One gram of fat contains 9 calories. A snack has 60 calories from p grams of protein and f grams of fat. The equation 4p + 9f = 60 represents the relationship between these quantities. If there are 6 grams of fat in the snack, how many grams of protein are there? Show your reasoning.

Respuesta :

Answer:

1.5 grams of protein.

Step-by-step explanation:

The equation that represents the relationship between protein and fat is as follows :

4p + 9f = 60 ....(1)

We need to find the grams of protein are there if there are 6 grams of fat in the snack.

Put f = 6 in the above equation (1).

4p + 9(6)= 60

4p + 54 = 60

Subtract 54 to the both sides,

4p + 54-54 = 60-54

4p = 6

⇒ p = 1.5 grams

It means the snack contains 1.5 grams of protein.

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