You would need approximately 40.33 ounces of milk for 11 ounces of flour in this pancake recipe.
To find the ratio of milk to flour in this pancake recipe, you can set up a proportion based on the given data. Let's denote the unknown amount of milk for 11 ounces of flour as x.
The given ratios are:
![\[\frac{\text{Flour}}{\text{Milk}} = (3)/(11) = (1)/(3) = (11)/(x)\]](https://img.qammunity.org/2024/formulas/mathematics/college/pes71cur0gwduybkwolwemrh6hgkwit658.png)
Now, you can cross-multiply to solve for x:
![\[3 * x = 11 * 11\]](https://img.qammunity.org/2024/formulas/mathematics/college/p98jio429c84gdxhqki7b1zy2z1jd0gyah.png)
3x = 121
![\[x = (121)/(3)\]](https://img.qammunity.org/2024/formulas/mathematics/college/tlzii7bev7czua1nu117puvv34rmqkgdlw.png)
![\[x \approx 40.33\]](https://img.qammunity.org/2024/formulas/mathematics/college/dv7pzq40iwpc3d49msr5az1pyqm44flqma.png)
Therefore, you would need approximately 40.33 ounces of milk for 11 ounces of flour in this pancake recipe.