Question

Jim has 2/3 gallon of red paint and 7/12 gallon of orange paint and some gallons of pink paint if she has a total of 17/8 gallons of paint how many gallons of paint is pink

Answer 1

$$\begin{gathered} \mathrm{Quantity}\mathrm{of}\mathrm{red}\mathrm{paint}=\frac{2}{3}\mathrm{gallons} \\ \mathrm{Quantity}\mathrm{of}\mathrm{orange}\mathrm{paint}=\frac{7}{12}\mathrm{gallons} \\ \mathrm{Total}\mathrm{quantity}\mathrm{of}\mathrm{paint}=\frac{17}{8}\mathrm{gallons} \\ \mathrm{Quantity}\mathrm{of}\mathrm{pink}\mathrm{paint}=\frac{17}{8}-\left[\frac{2}{3}+\frac{7}{12}\right] \\ =\frac{17}{8}-\left[\frac{8+7}{12}\right] \\ =\frac{17}{8}-\frac{15}{12} \\ =\frac{17}{8}-\frac{5}{4} \\ =\frac{17-10}{8} \\ =\frac{7}{8}\mathrm{gallons} \end{gathered}$$