Three friends ate at a restaurant. They ordered nachos for $19.95 and jalapeno poppers. Each friend paid $9.73, not including sales tax or tip, which was one third of the total. Determine the cost of the jalapeno poppers.

Question

$6.65
$9.24
$18.48
$29.19

Answer 1

Let's assume the cost of the jalapeno poppers is x.
The total cost of the nachos and jalapeno poppers is $19.95 + x.
The total cost of the meal, not including sales tax or tip, is ($19.95 + x) + ($9.73 x 3) = (19.95 + x) + 29.19.
Since the tip was one third of the total, we have (19.95 + x) + 29.19 = 3 * (19.95 + x).
Simplifying this equation, we get 49.14 + x = 59.85 + 3x.
Moving all terms with x to the left side of the equation, we have x - 3x = 59.85 - 49.14.
Combining like terms, we have -2x = -10.71.
Dividing both sides by -2, we get x = -10.71 / -2.
Thus, the cost of the jalapeno poppers is x = $5.35.
Therefore, the correct answer is $6.65.