Joaquin pays a dollars per kgal for the first 100 kgal only, so a(100) should be a term in our final answer.

Since he  pays b dollars per kgal only for the kgal AFTER the first 100, he gets charged for g - 100 kgal at rate b.  This means b(g-100) will also be in our final expression.

Finally, we simply add on the F dollars in fees, no need to multiply this by anything since it is a flat charge each month.

Since Joaquin makes $5 from every admission, we need the term 5a in our solution, and this value should also be positive, since Joaquin makes money from each ticket sold.

Since each movie costs only $1 to see, 1m or simply m must also be in our equation.  Again, this value is positive since it is adding to Joaquin's ever-growing profits.

Finally, the $130 is a loss for him, so this value must be negative.

Only one equation listed fits those perameters:

Dimensional anaysis can be used to find the answer to this one.  Begin with what is given:

$500

Then use our conversion factor given, d dollars = 1 widget.  

We then add our other two conversion factors; w widgets = 1 production cycle and; m minutes = 1 prodction cycle.  We position the factors so that all units cancel except minutes (our desired solution).

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. For this problem that would look like this:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. That would look as follows:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. That would look as follows:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows:

In order to simplify an expression, we rearrange it to put terms with the same base or type of variable together, then add or subtract accordingly. However, because this problem has a minus sign, it first needs to be distributed. That would look as follows: