Question

The ratio of copper and zinc in an alloy is 5:3. If the weight of the alloy is 61 gram, find the weight of the zinc in the alloy
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Answer 1

Answer:

Ratio of copper and zinc in alloy = 5 : 3

Weight of alloy = 61 grams

let's take,

copper = 5x

zinc = 3x

copper + alloy = 61

5x + 3x = 61

8x = 61

x = 7.625

weight of zinc in alloy = 3x = 3 x 7.625 = 22.875 grams.

I also don't know the exact answer but I tried my best

Answer 2

Answer:-

The weight of zinc is 22.875g.

Solution:-

Method 1

Let the ratio of copper and zinc be 5x and 3x,

= 5x + 3x = 61

= 8x = 61

= x = 61/8

= x = 7.625

Now, the weight of zinc is ( 3x )

= 7.625 × 3

= 22.875g.

Method 2

Let the ratio of copper and zinc be 5x and 3x

➦ 5x + 3x = 61

➦ 8x = 61

➦ x = 61/8

➦ x = 7.625

Now, If we find the weight of copper, then we will able to find the weight of zinc :-

The weight of copper:-

➦ 7.625 × 5

➦ 38.125

The weight of zinc

= The weight of alloy - The Weight of copper

Therefore,

➦ 61g - 38.125g

➦ 22.875g

Now, Verification

➦ 22.875 + 38.125 = 61

➦ 61 = 61

L.H.S = R.H.S

Hence, Proved.