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?
C + C/3 = 152
To find out how many hot dogs Carmen sold, we need to break down the information given in the problem.
Let's assume that Shawn sold x hot dogs.
According to the problem, Carmen sold 3 times as many hot dogs as Shawn. So, Carmen sold 3x hot dogs.
Together, they sold 152 hot dogs. Therefore, we can set up an equation:
x + 3x = 152
Combining like terms:
4x = 152
To solve for x, divide both sides of the equation by 4:
x = 152/4
x = 38
So, Shawn sold 38 hot dogs.
To find out how many hot dogs Carmen sold, we multiply Shawn's number by 3:
3 * 38 = 114
Therefore, Carmen sold 114 hot dogs.