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?

1 Answer
Dec 11, 2017

13" cents"13 cents

Explanation:

"let the cost of a brick 20 years ago "=clet the cost of a brick 20 years ago =c

rArr4c-3=49larrcolor(blue)"solve for c"4c3=49solve for c

"add 3 to both sides"add 3 to both sides

4c cancel(-3)cancel(+3)=49+3

rArr4c=52

"divide both sides by 4"

(cancel(4) c)/cancel(4)=52/4

rArrc=13

"the cost of a brick 20 years ago was "13" cents"

color(blue)"As a check"

(4xx13)-3=52-3=49