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

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.

$6.65
$9.24
$18.48
$29.19

Answer 1

To determine the cost of the jalapeno poppers, we need to calculate the total bill amount and then subtract the cost of the nachos.

Let's start by calculating the total bill amount. We know that each friend paid $9.73, and this payment is one third of the total bill. Therefore, we can calculate the total bill by multiplying each friend's payment by three:

$9.73 * 3 = $29.19

So, the total bill amount is $29.19.

Now, to find the cost of the jalapeno poppers, we need to subtract the cost of the nachos from the total bill. We know that the nachos cost $19.95, so:

$29.19 - $19.95 = $9.24

Therefore, the cost of the jalapeno poppers is $9.24.

The correct answer is $9.24.

Answer 2

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.

Answer 3

To find the cost of the jalapeno poppers, we need to subtract the cost of the nachos from the total amount each friend paid.

Each friend paid $9.73, so the total amount paid by all three friends is 3 * $9.73 = $29.19.

We know that one third of the total cost was for the sales tax and tip. To find the remaining two-thirds of the total cost, we can multiply the total amount paid by 2/3: $29.19 * 2/3 = $19.46.

Finally, we subtract the cost of the nachos from the remaining two-thirds of the total cost to find the cost of the jalapeno poppers: $19.46 - $19.95 = -$0.49.

Since the result is negative, it means that the cost of the jalapeno poppers was less than zero, which is not possible. Therefore, none of the given choices ($6.65, $9.24, $18.48, $29.19) is correct.