# The price of a brick today is 49 cents. This is 3 cents less than 4 times the price 20 years ago. What was the price 20 years ago?

Dec 11, 2017

$13 \text{ cents}$

#### Explanation:

$\text{let the cost of a brick 20 years ago } = c$

$\Rightarrow 4 c - 3 = 49 \leftarrow \textcolor{b l u e}{\text{solve for c}}$

$\text{add 3 to both sides}$

$4 c \cancel{- 3} \cancel{+ 3} = 49 + 3$

$\Rightarrow 4 c = 52$

$\text{divide both sides by 4}$

$\frac{\cancel{4} c}{\cancel{4}} = \frac{52}{4}$

$\Rightarrow c = 13$

$\text{the cost of a brick 20 years ago was "13" cents}$

$\textcolor{b l u e}{\text{As a check}}$

$\left(4 \times 13\right) - 3 = 52 - 3 = 49$