Answer:
$3.25
Step-by-step explanation:
In this question, we are asked to obtain the price at which one hot dog is sold for.
Firstly, let’s assign variables. Let the price at which a hot dog is sold be h and the price at which a pretzel is sold be p.
In the first instance, 3 hotdogs and 1 pretzel were bought for $12.25. Mathematically, we have:
3h + p = 12.25 .........(I)
In the second instance, 2 hotdogs and 4 pretzel were bought for $16.50. Mathematically, we have:
2h + 4p = 16.50........(ii)
We now combine both equations to solve simultaneously:
From 1, we can see that p = 12.25 -3h
We can substitute this in ii
2h + 4(12.25 - 3h) = 16.50
2h + 49 - 12h = 16.5
12h -2h = 49 - 16.5
10h = 32.5
h = 32.5/10
h = $3.25
Hence, one hot dog costs $3.25
Step-by-step explanation:
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