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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.

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step-by-step explanation: