We propose and demonstrate a novel sensor which can simultaneously measure strain and temperature. The sensor is composed of a single fiber Bragg grating and an erbium-doped fiber amplifier. Using linear variation in the amplified spontaneous emission power of an erbium-doped fiber amplifier with temperature, we determine the temperature. By subtracting the temperature effect from the Bragg wavelength shift, we determine the strain. Experiments show rms deviations of $18.2{mu}{varepsilon}$ and $0.7^{circ}C$ for strain and temperature, respectively.