Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs and 4 hamburgers for $16, what is the cost of one hamburger?

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

i got 142 as my answer

step-by-step explanation: