Need help with this math question.

Question

At the baseball game, Josh bought 5 hot dogs and 2 hamburgers and paid $27.00. The Ann purchases 3 hot dogs and 4 hamburgers and paid $29.50. How much does 1 hot dog cost?

Answer 1

Here we will represent hotdogs with (x) and hamburgers with (y)

This gives us a base equation of 5x+2y=27 for Josh

A base equation of 3x+4y=29.50

The first step in solving this equation is to determine what Y is so that we can find x

We would put each equation on top of one another so that we can cancel one out

Like this:

5x+2y=27

3x+4y=29.50

The next step is to multiply the top equation by -2 so that the Y will cancel out. This will gives us

-10x-4y=-54

3x+4y=29.5

we do common addition for both equations to get a final equation of

-7x=-24.5

we now divide by -7 to get x=3.5 which tells us each hotdog is $3.50

if you wanted to find y, we would plug in x to one of the original equations and plug in x and Divide again.

Hope this helps!

Answer 2

5d + 2h = 27

3d + 4h = 29.50

Can you solve for d or h and answer?