Write an equation to represent the problem.
-Scot and Elizabeth ate dinner at an upscale bistro. The cost of their meals plus a 16% tip was $63.52.
A) x + 1.6x = 63.52
B) x + 16x = 63.52
C) x + 0.16x = 63.52
D) x + 0.16 = 63.52

Question

Quizplus · Accepted Answer

Let x be the cost of their meals. The tip is 16% of the cost of their meals, which is 0.16x. Therefore, the total cost of their meals plus tip is x + 0.16x = 1.16x. We are told that this total cost is $63.52, so we can write the equation 1.16x = 63.52. Dividing both sides by 1.16 gives x = 54.5, which is the cost of their meals. Therefore, the equation that represents the problem is x + 0.16x = 63.52. Let x be the cost of their meals. The 16% tip is 0.16x. Therefore, the equation should be x + 0.16x = 63.52 since the cost of their meals plus a 16% tip equals $63.52. Option A and B both incorrectly add the percentages to the original cost, while option D doesn't include x in the final equation.

Write an Equation to Represent the Problem