Math, asked by sheikhdollyiqbal, 3 months ago

Sand and cement are mixed in the ratio 1.7: 1.9 to
make a slab of concrete. If the slab of concrete weighs
31 kg 104 g, how much sand was used to make it?​

Answers

Answered by Agamsain
18

Answer :-

  • Weight of Sand used in Mixture = 14.688 Kg   OR   14688 g
  • Weight of Cement used in Mixture = 16.416 Kg   OR  16416 g  

Given :-

  • Ratio of Length & Width = 1.7 : 1.9
  • Total Weight of mixture = 31.104 Kg = 31104 g

To Find :-

  • Weight of Sand used in Mixture =  ?
  • Weight of Cement used in Mixture =  ?

Explanation :-  

Let the Weight of Sand & Cement used in the mixture to be ‘1.7x’ and ‘1.9x’ respectively.

So, making equation from the above data

 \blue { \boxed { \bf \bigstar \: Weight \: of \: Sand + Weight \: of \: Cement = Total \: Weight \: Mixture \: \bigstar }}

 \rm : \: \implies Weight \: of \: Sand + Weight \: of \: Cement = Total \: Weight \: Mixture

 \rm : \: \implies 1.7x + 1.9x = 31104 \: g

 \rm : \: \implies 3.6x = 31104 \: g

 \rm : \: \implies x = \dfrac{31104}{3.6} \: g

 \green{ \boxed { \bf : \: \implies x = 8640 \: g }}

Now substituting the value of ‘x’,

 \rm \star \: Weight \: of \: Sand = 1.7x = 1.7(8640) = \red{ \bold{14688 \: g}} \quad OR \quad \red{\bold{14.688 \: Kg}}

 \rm \star \: Weight \: of \: Cement = 1.9x = 1.9(8640) = \red{ \bold{16416 \: g}} \quad OR \quad \red{\bold{16.416 \: Kg}}

Hence, the Weight of Sand & Cement In Mixture are 14.688 Kg and 16.416 Kg Respectively.  

Answered by dass70652
12

Answer:

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