Question

a mixture contain sand and gravel in the ratio 1:4 the sand has 20% impurity if total mixture weighs 10kg how much impurity is there (consider that gravel has no impurity)​

Answer 1

Answer:

the impurities of total mixture is 0.4kg

Answer 2

There is 400 grams of impurities.

Explanation:

Given : A mixture contain sand and gravel in the ratio 1:4 .

Let the weight of sand is x and the weight of gravel is 4x.

Since  , the total mixture weighs 10kg , then x+4x=10

i.e. 5x=10 ⇒ x=2

∴ The weight of sand = x= 2 kg

Also, the sand has 20% impurity  , then the weight of impurities = 20% of ( weight of sand)

$=\dfrac{20}{100}\times2= 0.4\ kg=400\ g$ [∵ 1 kg = 1000 g]

We assume that gravel has no impurity , so the total weight of impurities in mixture = 400 grams

Hence, there is 400 grams of impurities.

# Learn more :

The ratio of sand to gravel in a mixture is 17 : 8 while that between gravel and cement is

6:17. What is the ratio of sand to cement in the mixture?

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