Question

Divida o numero 3.161 em partes Inversamente proporcionais a 2/3, 4/5 e 7/8

Answer 1

x / 2\3 = 3x\2

x\4/5 = 5x\4

x\7/8 = 8x\7

3x\2 + 5x\4 + 8x\7 = 3161        mmc = 28

42x\28 + 35x\28 + 32x\28 = 3161

109x\28 = 3161

109x = 3161 . 28

109x = 88508

x = 88508 : 109

x = 812

3x\2 = 3 .812 : 2 >>> 1218  >>>inv. a 2/3

5x\4 = 5 . 812 : 4 >>>1015 >>>inv. a 4/5

8x\7 = 8 . 812 : 7 >>> 928 >>>inv a 7/8

Answer 2

x / 2\3 = 3x\2

x\4/5 = 5x\4

Resposta:

x\7/8 = 8x\7

3x\2 + 5x\4 + 8x\7 = 3161        mmc = 28

42x\28 + 35x\28 + 32x\28 = 3161

109x\28 = 3161

109x = 3161 . 28

109x = 88508

x = 88508 : 109

x = 812

3x\2 = 3 .812 : 2 >>> 1218  >>>inv. a 2/3

5x\4 = 5 . 812 : 4 >>>1015 >>>inv. a 4/5

8x\7 = 8 . 812 : 7 >>> 928 >>>inv a 7/8