How much of each fertilizer brand (in lb) is needed to obtain the desired mixture?

Question

A mixture of 6 pounds of fertilizer A, 17 pounds of fertilizer B, and 6 pounds of fertilizer C provides the optimal nutrients for a plant. Commercial brand X contains equal parts of fertilizer B and fertilizer C. Commercial brand Y contains one part of fertilizer A and two parts of fertilizer B. Commercial brand Z contains two parts of fertilizer A, five parts of fertilizer B, and two parts of fertilizer C. How much of each fertilizer brand (in lb) is needed to obtain the desired mixture?

brand X___ lb

 brand Y___ lb

 brand Z___ lb 

Answer 1