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Chapter 6: Problem 46

Solve. Use the proportion method. 126 is \(84 \%\) of what?

Short Answer

Expert verified
The total amount is 150.

Step by step solution

01

Identify the 'Part'

In the given problem, 126 is identified as the 'part' (the percentage of the whole).
02

Identify the 'Percent'

84 is identified as the 'percent' (the proportion of the part to the whole in percentage terms).
03

Apply the Percent Proportion Method

Use the percent proportion, \( \frac{part}{whole} = \frac{percent}{100} \), which can be rearranged to solve for the whole: \( whole = \frac{part \cdot 100}{percent} \)
04

Substitution

Substitute the given values into the formula: \( whole = \frac{126 \cdot 100}{84} \)
05

Perform Calculations

Perform the multiplication and division to find the value of the whole: \( whole = 150 \)

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