Answer:
Number of hot dogs sold= 48
Number of pretzels sold= 33
Step-by-step explanation:
Designate 'h' for the quantity of hot dogs and 'p' for the quantity of pretzels sold today by Joanie.
It is given that:
She sold 15 more hot dogs than pretzels and made $195 overall.
This situation can be articulated as:
- h=p+15 which can also be arranged as:
h-p=15------------(1)
(Given that pretzels are priced at $3 each, while hot dogs are $2 each)
Now, we will solve these two equations to determine h and p.
Using substitution, we insert the expression for h from equation 1 into equation 2:
2(p+15)+3p=195
2p+30+3p=195
5p+30=195
5p=195-30
5p=165
Thus, p=33.
Then, for h:
h=33+15
h=48.
Consequently, Joanie sold 48 hot dogs
and 33 pretzels