# Every day, Doug's orange juice stand uses 5 bags of oranges. For how many days will 4 1/2 bags of...

## Question:

Every day, Doug's orange juice stand uses 5 bags of oranges. For how many days will {eq}4\tfrac{1}{2} {/eq} bags of oranges last?

## Supplies

In algebraic word problems, the supplies problem is often associated with ratio and proportion in the solution until other conditions are given in the problem.

## Answer and Explanation:

The ratio for the problem stated above will be:

{eq}\dfrac{5\,bags}{1\,day} = \dfrac{4.5 bags}{x,day} {/eq}

{eq}x = \dfrac{4.5}{5} {/eq}

{eq}x = 0.9\,day {/eq}

Converting days to hours:

{eq}x = 0.9\,day \times \dfrac{24\,h}{1\,day} {/eq}

{eq}x = 21.6\,hours {/eq}

The bag of oranges will last for {eq}21.6 {/eq} hours

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What is Ratio in Math? - Definition & Overview

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Chapter 10 / Lesson 14
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