Given:
The total tuition amount is T = $2400.
The percentage of paid is r = 35%.
The objective is to find the money need to be loaned in order to pay the rest of his tuition.
Step-by-step explanation:
Consider the required loan amount as x.
The value of x can be calculated by subtracting the percentage of paid amount from the total amount.
The expression can be written as,
![x=T-rt\text{ . . . . .(1)}](https://img.qammunity.org/2023/formulas/mathematics/college/wtb8deax3xiutqm7m8bthnz3gu945xxsbu.png)
On plugging the given values in equation (1),
![\begin{gathered} x=2400-(35)/(100)*2400 \\ =2400-(35*24) \\ =2400-840 \\ =1560 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/7mo8mr1par2psltp6jrj9fbsa9dmc1e17p.png)
Thus, the money need to be loaned in order to pay the rest of his tuition is $1560.
Hence, option (3) is the correct answer.