soy is 14% protein corn is 7% protein how many  pounds of each should we mix in order to get 280 lb. mixture with 11% protein?how many lb.. of corn mixture?

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Let S=soy, C=corn.14S+.07C=.11(280) -equation1S+C=280 -equation2rearrange equation 1 to isolate any variable I will pick S.S=280-Csimplify equation 1,.14S+.07C=30.8 S=280-Cnow substitute 280-C in for S in eq.1.14(280-C)+.07C=30.8simplify39.2-.14C+.07C=30.8-39.2                  -39.2-.14C+.07C=-8.4-.07C=-8.4divide by -.07 on both sidesand C=120 so if C+S=280 like it says above then120+S=280-120     -120and S=160. So C=120lbs &S=160lbs.