Total Spending on Groceries and Entertainment

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?