Question

Supper saver grocery carries a 128 ounce jug of iced tea. The nutritional label states that the jug serves 16 people . Which rate best represents the relationship between the number of ounces of Iced tea and the number of servings?

Answer 1

Answer:

1:16   for every 16oz there is a 1 person serving.

Step-by-step explanation:

"128 ounce jug of iced tea. The nutritional label states that the jug serves 16 people."

16:128    is your given ratio, this is already a correct answer, but we will simplify by finding the GCF (greatest common factor) and dividing by that.

Factorization of 16                                 Factorization of 128

      $\left[\begin{array}{ccc}16& & \\2&8& \\2 &4 & \\2 & 2\\2& 1 \end{array}\right]$                                                $\left[\begin{array}{ccc}128 \\2 &64\\2 &32\\2&16\\2&8\\2&4\\2&2\\2&1 \end{array}\right]$

The common factors we have are: 2x2x2x2 which is = 16 = GCF

so lets simplify our ratio by dividing by the GCF

$\frac{16}{16}:\frac{128}{16} = 1:16$