How many more toy cars than toy trucks are there in a toy box with a total of 38 if there are 12 more toy cars?

To determine how many more toy cars than toy trucks are in the toy box, we start by defining the number of toy trucks. If we let the number of toy trucks be represented by a variable, we can express the number of toy cars as that variable plus 12, since there are 12 more toy cars than toy trucks.

Adding these, the equation representing the total number of toys becomes:

(Toy Trucks) + (Toy Cars) = Total Toys

which translates to:

x (toy trucks) + (x + 12) (toy cars) = 38.

Now, simplifying this gives:

x + (x + 12) = 38

2x + 12 = 38.

Next, we subtract 12 from both sides:

2x = 26,

and divide by 2:

x = 13.

Now we have determined that there are 13 toy trucks. To find the number of toy cars, we substitute x back into our expression for toy cars:

Toy Cars = x + 12 = 13 + 12 = 25.

Now, to find how many more toy cars there are than toy trucks, we subtract the number of toy trucks from the number of toy cars:

Toy Cars