Components 83328

Divide the number 112 into three components, x, y, and z, so that x: y = 7: 5 and y: z = 3: 4 apply.

Final Answer:

x =  42
y =  30
z =  40

Step-by-step explanation:

x+y+z=112 5x=7y 4y=3z  5 x=7 y 4 y=3 z  x+y+z=112 5x7y=0 4y3z=0  Pivot:Row1Row2  Row251 Row1Row2 2.4y+z=112  Pivot:Row2Row3  Row342.4 Row2Row3 2.8z=112  z=2.8112=40 y=40+3z=40+3 40=30 x=50+7y=50+7 30=42  x=42 y=30 z=40



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