If the sales tax for 2 tons of concrete mix is $4.65, then at this same rate how much is the...

Question:

If the sales tax for 2 tons of concrete mix is $4.65, then at this same rate how much is the sales tax for 1.6 tons of concrete mix?

Ratio and Proportion

Ratio and proportion problems can be solved in several ways. However, one of the easiest ways is through the use of converting them into fractions. This method works well when solving rate-related problems.

Answer and Explanation:

We will express the unknown tax amount as {eq}t {/eq}. To solve this problem, we will express the ratio of the tax to the concrete in both cases as equal proportions, which is given by:

{eq}\begin{align} t:1.6 &=4.65:2\\[0.2cm] \,&\Downarrow\\ \dfrac{t}{1.6}&=\dfrac{4.65}{2}\\[0.2cm] t&=\left(\dfrac{4.65}{2}\right) (1.6)\\[0.2cm] t&=\dfrac{4.65(1.6)}{2}\\[0.2cm] t&=3.72 \end{align} {/eq}

Therefore, the tax for the 1.6 tons is $3.72.


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Calculations with Ratios and Proportions

from ELM: CSU Math Study Guide

Chapter 2 / Lesson 13
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