# Chapter 2 - Section 2.5 - An Introduction to Problem Solving - Exercise Set - Page 167: 56

False. The statement should read: "After a 35%, reduction, a computer’s price is $780$ dollars, so its original price, $x$, can be found by solving \$x - 0.35 = 780$$." #### Work Step by Step This statement is false because, according to the equation given, it looks like we are just subtracting 35 cents from the total instead of 0.35 of the total (or 0.35x). The original equation is giving us a discount of 35 cents instead of 35 percent of the total. The expression that will give us the true discounted amount of 35 percent of the total is given as 0.35x. The equation should really read:$$x - 0.35x = 780$$The entire statement should read: "After a 35%, reduction, a computer’s price is 780 dollars, so its original price, x, can be found by solving x - 0.35 = 780$$."

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