Ramon spends 2/5 of his monthly income on rent ,1/5 of his income on utilities and 3/4 of the amount remaining on food and recreation.he saves 193.50 a month,what is ramon’s monthly income?

Let x = income
Then: 
Rent: 
Utilities:  
Food and Recreation:  

Now adding all the expenses: 
We see that the expenses are 90% of the income, so the savings must be 10% of the income.

x=1935.0  this is your income  
Hope this helps...

It take 65 people to maximize the revenue.

Step-by-step explanation:

Consider the provided information.

Let x is the number of people who take part in trip.

They charge $50 per person and they will reduce the price per person for all riders by $0.50 for each person excess of 30.

The price for each person is where x is greater or equal to 30.

Now write a revenue function by multiplying the number of people with the price per person.

We need to maximize the company's revenue.

The above function is a parabola that opens downward because the coefficient of x²is negative.

Therefore, the maximum of the function is at its vertex.

If the equation of the parabola is then we can find the coordinate of vertex at

Calculate the value of for the function .

Therefore, it take 65 people to maximize the revenue.