The University of Maine system consists of 7 campuses and has a budget of $400 million in state funding. If the money were to be allocated equally per student in the University of Maine system, how much money would the Southern Maine campus receive based on enrollment? Round your answer to the nearest cent.

The University of Maine system consists of 7 campuses and has a budget of 400 million in state funding If the money were to be allocated equally per student in class=

Respuesta :

Solution:

The number of enrollment in southern maine campus is

[tex]=9655[/tex]

The total amount to be shared by 7 campuses is

[tex]=\text{ \$400,000,000}[/tex]

Concept:

To calculate the amount of money to be received by southern main campus, we will use the formula below

[tex]\text{Southern maine=}\frac{\text{ Number of students }}{\text{total number of students}}\times total\text{ amount to b shared}[/tex]

The total number of students will be calculated below as

[tex]\begin{gathered} \text{Total}=11,867+5,054+2,238+1,126+984+1,436+9,655 \\ \text{Total}=32360 \end{gathered}[/tex]

Hence,

By substituting the values, we will have

[tex]\begin{gathered} \text{Southern maine=}\frac{\text{ Number of students }}{\text{total number of students}}\times total\text{ amount to b shared} \\ \text{Southern maine}=\frac{9655}{32360}\times400,000,000 \\ \text{Southern maine}=119,344,870.20\text{ } \end{gathered}[/tex]

Hence,

The amount southern maine receives based on enrollment will be = $ 119,344,870.20