She is baking loaves of bread . For each loaf of bread she uses 1/6 of a teaspoon of baking powder and 4 cups of flour.
[tex]1\text{ loaf of bread = }\frac{1}{6}\text{teaspoon of powder + 4 cups of flour}[/tex]What she possess to make bread is 4/7 teaspoon of powder and 15 cups of flour. Therefore the fraction of flour she can use with 4/7 teaspoon of baking powder can be computed below.
[tex]\begin{gathered} \frac{1}{6}teaspoon=4\text{ cups of flour} \\ \frac{4}{7}\text{teaspoon}=\text{?} \\ \text{cross multiply} \\ \frac{4}{7}\times4=\frac{16}{7}\times6=\frac{96}{7}=13\frac{6}{7}\text{ cups of flour} \end{gathered}[/tex]She uses 96/7 fraction of flour.