Question

I take 8th grade honors math but i straight up cant figure this out

Answer 1

The price of the cheeseburger was given in terms of the price of the fries, so let's start by choosing a variable to represent the price of the fries.

Let x = price of fries

Then price of cheeseburger = 3x

Price of drink = x

The cost of the three items is the sum of their prices: x + 3x + x = 5x

The cost is $12.50, so 5x must equal $12.50. That gives us our equation.

5x = 12.5

x = 2.5

The fries and the drink cost $2.50 each.

3x = 3(2.5) = 7.50

The cheeseburger cost $12.50.

Answer: Cheeseburger: $7.50 Fries: $2.50 Drink: $2.50

Answer 2

The price of the fries would be $2.50, the price of the drink would be $2.50, and the price of the cheeseburger wold be $7.50.

We can write a set of equations to represent the prices, if 'f' is fries, 'd' is drink, and 'c' is cheeseburger:

c = 3f

f = d

Using these equations, we can then write out the sum of the items also, as it would be c + f + d = 12.50, but as we know that c = 3f and d = f, we can write it as 3f + f + f = 12.50, and then solve:

3f + f + f = 12.50

5f = 12.50

÷ 5

f = $2.50

Now that we know the price of the fries, we know that the price of the drink is the same, so the drink is also $2.50. Then, we can multiply 2.50 by 3 as we know that the cheeseburger is 3 times the cost of the fries, and 2.50 × 3 = 7.50.

I hope this helps!