For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
[tex]1 \frac {3} {4} = \frac {4 * 1 + 3} {4} = \frac {7} {4}[/tex]cups
4 ----------> [tex]\frac {7} {4}[/tex]
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
[tex]x = \frac {10 * \frac {7} {4}} {4}\\x = \frac {\frac {70} {4}} {4}\\x = \frac {70} {16}\\x = \frac {35} {8}[/tex]
This is equivalent to [tex]4 \frac {3} {8}[/tex]cups.
Answer:
[tex]4 \frac {3} {8}[/tex] cups