Powder : Water
2 : 7
[tex]7 \text { parts powder } \rightarrow 2 \text { parts water } [/tex]
[tex]1 \text { part powder } \rightarrow \dfrac{2}{7} \text { parts water } [/tex]
[tex]2 \dfrac{3}{4} \text { gallons of powder } \rightarrow \dfrac{2}{7} \times 2 \dfrac{3}{4}\text { gallons of water } [/tex]
[tex]2 \dfrac{3}{4} \text { gallons of powder } \rightarrow \dfrac{2}{7} \times \dfrac{11}{4}\text { gallons of water } [/tex]
[tex]2 \dfrac{3}{4} \text { gallons of powder } \rightarrow \dfrac{11}{14} \text { gallons of water }[/tex]
[tex]\text {Answer : } \dfrac{11}{14}\text { gallons of water must be added} [/tex]