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

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

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Answer 1 · 2016-03-28T16:36:30

$x = 13$ $x=13$

Explanation:

Let $y$ $y$ equal the price today.
Let $x$ $x$ equal the price 20 years ago.
The following equations are based upon the two statements above.
$y = 49$ $y=49$
$4 x - 3 = y$ $4x-3=y$
Substitute $y$ $y$ in the second equation.
$4 x - 3 = 49$ $4x-3=49$
Solve for $x$ $x$
Add $3$ $3$ to each side.
$4xcancel(-3+3)=49+3$
$4x=52$
Divide each side by $4$ .
$(4x)/4=52/4$
$x=13$

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

1 Answer

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