only chocolate and vanilla ice cream cones are sold at an ice cream store. In one day, the number of chocolate cones sold was 1 more than 4 times the number of vanilla cones sold. A total of 121 cones sold that day

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c = 4v + 1
v + c = 121

Now use substitution.

v + 4v + 1 = 121
5v + 1 = 121
5v = 120
v = 24

The answer is 24.
Here's the equation: 
4x+1+x = 121. Where x is equal to the amount of vanilla cones.
5x + 1 = 121
5x = 120
x = 24
There were 24 vanilla and 97 chocolate.