Canon ELPH 150 IS has a 20.0MP 1/2.3' (6.17 x 4.55 mm ) sized CCD sensor and features Digic 4+ processor. On the other hand, Fujifilm XP50 has a 14.0MP 1/2.3-inch (6.17 x 4.55 mm ) sized CMOS sensor .
Canon ELPH 150 IS's sensor provides 6MP more than Fujifilm XP50's sensor, which gives a significant advantage in real life. You can print your images larger or crop more freely.
On the other hand, please keep in mind that Max sensor resolution is not the only determinant of resolving power. Factors such as the optical elements, low pass filter, pixel size and sensor technology also affects the final resolution of the captured image.
Below you can see the ELPH 150 IS and XP50 sensor size comparison.
Canon ELPH 150 IS and Fujifilm XP50 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.