Answer:
The price of hot dog is $2.5 and that of a pretzel is $1.25.
Step-by-step explanation:
Let the cost of hotdogs be h and that of pretzels be p.
So,
4h+3p = 13.75 ...(1)
and
2h+5p = 11.25 ...(2)
Multiply equation (2) by 2.
4h+10p = 22.5 ...(3)
Subtract equation (1) from (3).
4h+10p-(4h+3p) = 22.5-13.75
4h+10p-4h-3p = 8.75
7p = 8.75
y = 1.25
Put the value of y in equation (1).
4h+3(1.25) = 13.75
4h+3.75 = 13.75
4h = 13.75-3.75
4h = 10
h = 2.5
So, the price of hot dog is $2.5 and that of a pretzel is $1.25.
