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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


Learn more about this topic:

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What is Ratio in Math? - Definition & Overview

from CAHSEE Math Exam: Help and Review

Chapter 10 / Lesson 14
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