x:y=2:3 x:z=5:4 x+y+z=33

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x:y=2:3 x:z=5:4 x+y+z=33
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x:y=2:3 x:z=5:4 x+y+z=33
x:y=2:3 x:z=5:4 x+y+z=33

x:y=2:3 x:z=5:4 x+y+z=33
∵x:y=2:3
x=2/3y
∴y=3/2x
∵x:z=5:4
x=5/4z
∴z=4/5x
把y=3/2x,z=4/5x代入x+y+z=33中
得x+3/2x+4/5x=33
10+15x+8x=330……………………两边同时乘以10
33x=330
∴x=10
{ y=3/2x=15
z=4/5x=8
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y=3x/2,z=4x/5
代入x+y+z=33得
x+1.5x+0.8x=33
3.3x=33
x=10
代入x:y=2:3得
10：y=2:3
2y=30
y=15
代入x+y+z=33得
10+15+z=33
z=8

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