A research team conducted a study on the spending habits of 500 households to understand the distribution of expenditures across various categories. They collected the following data:
- 25% of households spend more than $300 on groceries monthly.
- 40% of households spend more than $150 on entertainment monthly.
- 60% of households spend less than $100 on utilities monthly.
- The average monthly spending on groceries is $350 and on entertainment is $200.
Using this information, what is the expected total amount spent on groceries and entertainment for all households in the study over a month?