Question

a metal is made from copper,zinc and lead in the ratio 13:6: 1 . the mass of the zinc is 90kg . calculate the mass of the metal

Answer 1

Step-by-step explanation:

let the ratio of zinc be x

6x

mass of the zinc=90kg

6x=90

x=15

for other metals

copper=13x=13*15=195kg

lead=x=15kg

mass of whole metal=195+90+15=300kg

Answer 2

Answer:

Total mass of the metal = 300kg

Step-by-step explanation:

Given,

Mass of copper, zinc and lead in a metal is in the ratio 13:6:1

The mass of the Zinc = 90kg

To find

The mass of the metal

Solution:

Since the ratio of the mass of copper, zinc and lead in the metal = 13:6:1, we have

Mass of copper = 13x

Mass of Zinc = 6x

Mass of lead = x

Since the metal is made from these three elements,

Total mass of the metal = 13x+6x+x = 20x -------------(1)

Since, mass of Zinc in the metal is 90kg, we have

6x  = 90

x = $\frac{90}{6}$ = 15

From equation (1),

Total mass of the metal = 20x = 20×15 = 300kg

Answer:

Total mass of the metal = 300kg

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