Eddie has saved up $45 to purchase a new camera from the local store. The sales tax in his county is 7% of the sticker price. Write an equation and solve it to determine the value of the highest priced camera Eddie can purchase with his $45, including the sales tax. Round your answer to the nearest penny.
x - 0.07x = 45; $48.39
0.7x = 45; x = $64.29
7x = 45; x = $6.43
x + 0.07x = 45; x = $42.06
+33652 if x is the basic price we must add 7% to this. As a fraction 7% is 7/100. As a decimal number this is 0.07, so the total to be paid is x + 0.07x (which can also be written as 1.07x). This must equal $45, so 1.07x = 45; divide both sides by 1.07 to get x:
$${\mathtt{x}} = {\frac{{\mathtt{45}}}{{\mathtt{1.07}}}} \Rightarrow {\mathtt{x}} = {\mathtt{42.056\: \!074\: \!766\: \!355\: \!140\: \!2}}$$
or x = $42.06 to the nearest penny.
+33652 if x is the basic price we must add 7% to this. As a fraction 7% is 7/100. As a decimal number this is 0.07, so the total to be paid is x + 0.07x (which can also be written as 1.07x). This must equal $45, so 1.07x = 45; divide both sides by 1.07 to get x:
$${\mathtt{x}} = {\frac{{\mathtt{45}}}{{\mathtt{1.07}}}} \Rightarrow {\mathtt{x}} = {\mathtt{42.056\: \!074\: \!766\: \!355\: \!140\: \!2}}$$
or x = $42.06 to the nearest penny.
