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} $ |