Question

Sabendo que as razões x/12 , y/28 , z/20 são iguais e x + 2y +5z = 42 , calcule os valores de x , y e z



pfvr , colocar as contas, obrigada !

Answer 1

x/12 =  y/28 = z/20
x + 2y + 5z =42
x /12+ 2(y/28)  = 5 (z/20)  =
x /12  =  2y/28 = 5z/20  = ( x + 2y + 5z)/ ( 12 + 28 + 20) = 42/60 =7/10
x/12 = 7/10
10x = 7 * 12
10x = 84
x = 84/10 = 8,4 ***
2y/28 =7/10
20y = 28 * 7
20y = 196
y = 196/20 =9,8 ****

5z/20 =   7/10
50z = 20 * 7
50z = 140
z = 140/50 =2,8 ****
PROVA
8,4 + 2 (9,8) + 5 (2,8 )  = 42
8,4 + 19,6 + 14 = 42  CONFERE