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Sand and cement are in a ratio of 6:5 in a mixture weighing 671. How much sand must be added to the mixture to make the ratio 8:5?

Answer :

Final answer:

To create the desired ratio of 8:5 in a mixture of sand and cement, 122kg of sand needs to be added to the initial mixture. So, 122kg of sand must be added to the mixture to create the desired ratio of 8:5.

Explanation:

The given ratio of sand to cement is 6:5, which means for every 6 parts of sand, there are 5 parts of cement. The total mixture is 671kg, which you can consider as 11 parts (6 parts sand + 5 parts cement). Therefore, each part weighs 671 ÷ 11 = 61kg.

Right now, the amount of sand is 6 parts, equivalent to 6 × 61 = 366kg.

To make the ratio 8:5, you would need to increase the sand quantity to 8 parts. That is 8 × 61 = 488kg. Therefore the amount of additional sand required is 488kg - 366kg = 122kg. So, 122kg of sand must be added to the mixture to create the desired ratio of 8:5.

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