At a local baseball game, the concession stand has two different meal choices. you can get 3 hotdogs and 5 drinks for $25.00 or you can get 6 hotdogs and 4 drinks for $29.00. If the price of hotdogs and drinks is the same for each meal, find how much it cost for an individual hot dog and an individual drink.

$____per hotdog

$____per drink

can someone please show me how to set up these equations?

To set up the equations, we can let x represent the cost of an individual hot dog and y represent the cost of an individual drink.

Equation 1: For the first meal option with 3 hotdogs and 5 drinks, the total cost is $25.00. So, we can write this equation as:
3x + 5y = 25.00

Equation 2: For the second meal option with 6 hotdogs and 4 drinks, the total cost is $29.00. So, we can write this equation as:
6x + 4y = 29.00

Now that we have the equations set up, we can solve them to find the cost per hotdog and per drink.

One way to solve these equations is by using the method of substitution or elimination. Do you have a preferred method you want to use?

3h + 5d = 25

6h + 4d = 29 ----> 3h + 2d = 14.50
subtract this from the first:
3d = 10.50
d = 3.50

sub back into first to get h, the price of a hotdog.