rq 7: markup and markdown problems\nscore: 1/2 answered: 1/2\nquestion 2 (0/1)\nquestion 2\nafter a 40%…

rq 7: markup and markdown problems\nscore: 1/2 answered: 1/2\nquestion 2 (0/1)\nquestion 2\nafter a 40% reduction, you purchase a new television for $243. what was the price of the television before the reduction?\na) first write an equation you can use to answer this question. use x as your variable and express any percents in decimal form in the equation.\nthe equation is \n\nb) solve your equation in part a to find the original price of the television.\nanswer: the original price of the television was dollars.

rq 7: markup and markdown problems\nscore: 1/2 answered: 1/2\nquestion 2 (0/1)\nquestion 2\nafter a 40% reduction, you purchase a new television for $243. what was the price of the television before the reduction?\na) first write an equation you can use to answer this question. use x as your variable and express any percents in decimal form in the equation.\nthe equation is \n\nb) solve your equation in part a to find the original price of the television.\nanswer: the original price of the television was dollars.

Answer

Explanation:

Step1: Set up the equation

If the original price is $x$ and there is a 40% (or 0.4 in decimal form) reduction, then the price after reduction is $x(1 - 0.4)$. We know this is equal to 243. So the equation is $x(1 - 0.4)=243$, which simplifies to $0.6x = 243$.

Step2: Solve the equation for $x$

Divide both sides of the equation $0.6x=243$ by 0.6. So $x=\frac{243}{0.6}=405$.

Answer:

A) The equation is $0.6x = 243$ B) The original price of the television was 405 dollars.