The results of three PEA dorm outings to Burger Palace: Dutch spent $54.39 for 14 burgers, 12 shakes, and 15 fries; Wentworth spent $291.95 for 81 burgers, 62 shakes, and 72 fries; Lamont spent $111.93 for 25 burgers, 33 shakes, and 29 fries. How much does an order of frie cost at Burger Palace?

14b+12s+15f = 54.39

81b+62s+72f = 291.95
25b+33s+29f = 111.93
solve by your favorite method.

Well, it seems like Burger Palace should start charging extra for fries since they are so in demand! Let's do some math to find out the cost of an order of fries.

First, let's calculate the cost of fries for Dutch's outing. Dutch spent $54.39 for 15 fries. Therefore, the cost of each fry for Dutch is $54.39 divided by 15.

Next, let's move on to Wentworth's outing. Wentworth spent $291.95 for 72 fries. So the cost of each fry for Wentworth is $291.95 divided by 72.

Finally, let's calculate the cost of fries for Lamont's outing. Lamont spent $111.93 for 29 fries. So the cost of each fry for Lamont is $111.93 divided by 29.

Now, to find out the average cost of an order of fries, you can add up the costs from all three outings and divide by the total number of fries.

But I'll leave the actual math to you. So, grab your calculator and let's find out how much an order of fries costs at Burger Palace!

To find out the cost of an order of fries at Burger Palace, we need to calculate the average cost of fries across the three outings.

Let's start with Dutch's outing:
Dutch spent $54.39 for 15 fries.
Cost per fry = $54.39 / 15 = $3.626

Next, let's calculate the cost per fry for Wentworth's outing:
Wentworth spent $291.95 for 72 fries.
Cost per fry = $291.95 / 72 = $4.053

Finally, let's calculate the cost per fry for Lamont's outing:
Lamont spent $111.93 for 29 fries.
Cost per fry = $111.93 / 29 = $3.861

To find the average cost of fries across the three outings, we will calculate the mean:
Average cost per fry = (3.626 + 4.053 + 3.861) / 3 = $3.847

Therefore, an order of fries at Burger Palace costs approximately $3.847.

To find out how much an order of fries costs at Burger Palace, we need to divide the total amount spent on fries by the number of orders.

For Dutch, the total amount spent on fries is $54.39. Since Dutch bought 15 orders of fries, we divide $54.39 by 15.

For Wentworth, the total amount spent on fries is $291.95. Since Wentworth bought 72 orders of fries, we divide $291.95 by 72.

For Lamont, the total amount spent on fries is $111.93. Since Lamont bought 29 orders of fries, we divide $111.93 by 29.

After performing the calculations, we find that Dutch paid approximately $3.63 for an order of fries, Wentworth paid approximately $4.05, and Lamont paid approximately $3.86.

Since we have three different prices, we can take the average of the three to get a more accurate estimate. Adding the three prices together and dividing by three gives us an average of $3.85.

Therefore, an order of fries at Burger Palace costs approximately $3.85.