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Math Help for Section 3.3, Page 120

Example
4: Tip

Both of these problems fit question type #2 from the guide in the Math Help on page 119:

Question$\quad\quad\quad\quad$ Given Percent Equation
2. a
is p
percent of what number?
a and p Solve for b.

Note that in part (b), a is the sum $402 + 3.$

Example
4: Check

a.   $\eqalign{14 =&
0.25b&{\small\color{red}\quad\quad\text{Write original equation.}} \cr 14\overset{?}{=}&
0.25\left({\color{red}56}
\right)&{\small\color{red}\quad\quad\text{Substitute 56 for }b.} \cr 14 =&
14&{\small\color{red}\quad\quad\text{Solution checks. }\checkmark} \cr} $
 
b. $\eqalign{402 + 3 =&
0.9b&{\small\color{red}\quad\quad\text{Write original
equation.}}  \cr 402 + 3 \overset{?}{=}&
0.9\left({\color{red}450}
\right)&{\small\color{red}\quad\quad\text{Substitute 450
for }b.} \cr 405 =&
405&{\small\color{red}\quad\quad\text{Solution checks.} \checkmark}
\cr} $



 

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