买两种布料共138米,花了540元.其中蓝布料每米3元,黑布料每米5元,两种布料共多少米?

问题描述:

买两种布料共138米,花了540元.其中蓝布料每米3元,黑布料每米5元,两种布料共多少米?

设蓝布料买了X米,买了黑布料Y米,则根据条件可得出方程X+Y=1383X+5Y=540解方程Y=138-X (1)将(1)代入方程3X+5Y=540可得3X+5(138-X)=540-2X+690=5402X=690-540X=75则Y=138-X=138-75=63最终可得出买了蓝布料75米,...