Joanie runs the concession stand for the school's baseball games. at each game, the best selling items are pretzels and hot dogs. pretzels are $3 each, and hot dogs are $2 each. today she sold 15 more hot dogs than pretzels and made $195 in total sales. use a system of equations to model the situation above, and determine which of the following are possible amounts of pretzels and hot dogs that joanie sold today.

Number of hot dogs sold= 48

Number of Pretzels sold= 33

Step-by-step explanation:

Let 'h' be the number of hot dogs and 'p' be the number of pretzels that Joanie has sold today.

As  it is given that:

Today she sold 15 more hot dogs than pretzels and made $195 in total sales.

i..e in terms of equation it could be represented as:

          h-p=15(1)  

( since Pretzels are $3 each, and hot dogs are $2 each )

Now we solve the two equations above to find the value of h and p.

we will use the method of substitution to solve this system.

Substitute the value of h in terms of p from equation 1 in equation (2) to obtain:

2(p+15)+3p=195

2p+30+3p=195

5p+30=195

5p=195-30

5p=165

p=33.

Now the value of h is:

h=33+15

h=48.

Hence, the number of hot dogs sold by Joanie= 48

and number of Pretzels sold by Joanie= 33

step-by-step explanation:

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