[tex] \text{Sammy has a recipe that needs 3/4 teaspoon of salt for every 2 cups of flour.}\\ \text{we nee to find the number of teaspoons of salt needed if Sammy increases}\\ \text{the amount of flour to 5 cups.}\\ \text{so we use the proportion for that.}\\ \\ \text{for 2 cups of flour, the amount of salt needed}=\frac{3}{4} \text{ teaspoons}\\ \\ \text{so for 1 cup of flour, the amount of salt needed}=\frac{(3/4)}{2}=\frac{3}{8} \text{ teaspoons} [/tex]
[tex] \text{Therefore for 5 cups of flour, the amount of salt needed} =\frac{3}{8}\times 5\\ \\ =\frac{15}{8} \text{ teaspoon} [/tex]
Hence, Sammy will have to increase the salt to 15/8 teaspoons.