Let's have first a variable representation for each kind.

We let **x **be the amount of chocolate bars and **y** be the amount of candies.

For the first hint:

the number of chocolate bars added to twice the number of candies is 33

Mathematical Translation:

x + 2y = 33 (1st equation)

For the second hint:

the number of chocolate bars is 6 less than the number of candies

Mathematical Translation:

x = y - 6 (2nd equation)

Since we have two equations and two unknowns, then we can solve for x and y

Substitute the 2nd equation to the 1st equation.

x + 2y = 33

since x=y-6

(y-6) + 2y = 33

y - 6 + 2y = 33

y + 2y = 33 + 6

3y = 39

y = 13 -the number of candies

Substitute y=13 to the 2nd equation

x = y - 6

x = 13 - 6

x = 7 -the number of chocolate bars

There are 7 chocolate bars and 13 candies.