Problema Solution

At the school carnival, Carmen sold 3 times as many hot dogs as Shawn. The two of them sold 152 hot dogs altogether. How many hot dogs did Carmen sell?

21

51

148

38

114

Answer provided by our tutors

let


c = the number of hot dogs that Carmen sold


s = the number of hot dogs that Shawn sold


Carmen sold 3 times as many hot dogs as Shawn:


c = 3s


The two of them sold 152 hot dogs altogether:


c + s = 152


by solving the system of equations:


c = 3s


c + s = 152


we find


c = 114 hot dogs


s = 38 hot dogs


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Carmen sold 114 hot dogs.