Question

Tamika makes a trail mix for her hiking trip. She uses 1 pounds of cashews, 1.6 pounds of sunflower seeds, 1 pounds of raisins, and 1.625 pounds of pecans.Which answer choice shows these weights in order from greatest to least?A. 1 5/6, 1.625, 1.6, 1 1/8B. 1 5/6, 1.6, 1.625, 1 1/8C. 1 1/8, 1.6, 1 5/6, 1.625D. 1 1/8, 1.6, 1.625, 1 5/6

Answer 1

Given

The quantity of cashews is, c = 1 5/6 pounds.

The quantity of sunflower seeds is, s = 1.6 pounds.

The quantity of raisins is, r = 1 1/8 pounds.

The quantity of pecans is, p = 1.625 pounds.

Explanation:

Let's convert the mixed fractions into decimal forms.

The quantity of cashews can be converted as,

$\begin{gathered} c=1\frac{5}{6} \\ =\frac{6+5}{6} \\ =\frac{11}{6} \\ =1.8333 \end{gathered}$

Similarly the quantity of raisins can be converted as,

$\begin{gathered} r=1\frac{1}{8} \\ =\frac{8+1}{8} \\ =\frac{9}{8} \\ =1.125 \end{gathered}$

Then, the decimal forms of each mix are,

$\begin{gathered} c=1.8333 \\ s=1.6 \\ r=1.125 \\ p=1.625 \end{gathered}$

By comparing the above decimal values, the greatest to lowest order will be,

[tex]\begin{gathered} c

Hence, option (A) is the correct answer.