Question

a piece of alloy weighing 5kg has equal quantities of tin and copper. how much tin should be added to the alloy to make the ratio of tin to copper as 60:40?​

Answer 1

Answer:

6+4=10

5000gm÷10

=500gm

tin=6×500=3000gm

copper =4×500=2000gm

so tin is 3kg and copper is 2kg

Answer 2

1.25 kg tin should be added to the alloy

Given :

A piece of alloy weighing 5 kg has equal quantities of tin and copper

To find :

The quantity of tin should be added to the alloy to make the ratio of tin to copper as 60 : 40

Solution :

Step 1 of 3 :

Write quantity of tin and copper in 5 kg alloy

Here it is given that the piece of alloy weighing 5 kg has equal quantities of tin and copper

Quantity of tin = 1/2 × 5 kg = 2.5 kg

Quantity of copper = 1/2 × 5 kg = 2.5 kg

Step 2 of 3 :

Form the equation to calculate tin should be added to the alloy

Let x kg of tin should be added to the alloy

By the given condition

$\displaystyle \sf (2.5 + x) : 2.5 = 60 : 40$

Step 3 of 3 :

Calculate quantity of tin should be added to the alloy

$\displaystyle \sf (2.5 + x) : 2.5 = 60 : 40$

$\displaystyle \sf \implies \frac{ (2.5 + x) }{2.5} = \frac{60 }{ 40}$

$\displaystyle \sf{ \implies }40(2.5 + x) = 60 \times 2.5$

$\displaystyle \sf{ \implies }100 + 40x = 150$

$\displaystyle \sf{ \implies }40x = 50$

$\displaystyle \sf{ \implies }x = \frac{50}{40}$

$\displaystyle \sf{ \implies }x = 1.25$

Hence 1.25 kg tin should be added to the alloy

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