Question

How many 1 1/2 cups servings are there in a 42 cup container of popcorn?

A) 21
B)23
C)26
D)28

Answer 1

D) 28

Explanation:

You want to know the number of 1.5 cup servings in 42 cups of popcorn.

Servings

The number of servings (s) satisfies the equation ...

1.5s = 42

Its solution is found by dividing by the coefficient of s:

s = 42/1.5 = 28

There are 28 servings in a 42-cup container of popcorn.

__

Additional comment

A dimensional analysis can tell you what to do with the numbers. You want number of servings, but the value (1 1/2 cups/serving) has the unit "serving" in the denominator. This means you need to divide by that quantity. To get the unit of "cups" to cancel, you need to divide 42 cups by the serving size.

`\frac{42\text{ cups}}{\left(\frac{1.5\text{ cups}}{1\text{ serving}}\right)}=(42)/(1.5)\text{ servings}=28\text{ servings}`

<95141404393>