Question

the ratio of mass of zinc and copper in an alloy is 5:9. if the mads of alloy is 11.2 kg find the mass of zinc in it

Answer 1

The mass of zinc in that alloy is 4 kilograms.

Given data :

Ratio of zinc to copper in that alloy is 5:9

The total mass of the alloy is 11.2 kilograms

• Let,the mass of zinc and copper are ,5x and 9x respectively. (Assume x as a variable to calculate the total mass of zinc in that alloy)

• So,the total mass of the alloy

= Mass of the zinc + Mass of the copper

= 5x + 9x

= 14x Kilograms

• Now, if we compare the calculated total mass and the given total mass then we will get the following equation :

14x = 11.2

x = 11.2/14

x = 0.8

So,the total mass of zinc in that alloy is = 5×0.8 = 4 kilograms (answer)

Answer 2

✬ Mass of Zinc = 4 kg ✬

Explanation:

Given:

• Ratio of zinc and copper in an alloy is 5 : 9.
• Weight if alloy is 11.2 kg.

To Find:

• What is the mass of zinc in alloy ?

Solution: Let x be the common in given ratio. Therefore,

• Zinc = 5x
• Copper = 9x

• If we add zinc and copper together we will get the alloy •

A/q

$\implies \: 5x + 9x = 11.2 \\ \\ \implies \: 14x = \frac{112}{10} \\ \\ \implies \: 14x \times 10 = 112 \\ \\ \implies \: 140x = 112 \\ \\ \implies \: x = \frac{112}{140} \\ \\ \implies \: x = 0.8 \: kg$

So, Mass of zinc in alloy = 5x = 5(0.8) = 4 kg

Mass of copper in alloy = 9x = 9(0.8) = 7.2 kg

_____________________

★ ChEck ★

➽ 5x + 9x = 11.2 kg

➽ 4 kg + 7.2 kg = 11.2 kg

➽ 11.2 kg = 11.2 kg { LHS = RHS }