Math, asked by thefatimaali013, 5 months ago

When loaded with cement blocks a lorry has a mass of 12000kg if the mass of the blocks is three times that of the empty lorry, find the mass of the blocks. Please give me the answer in hurry ​

Answers

Answered by legend8719
3

Answer:

12000 x 3 = 36000kg

Step-by-step explanation:

Hope it will help you

Answered by Anonymous
23

Given: When loaded with cement blocks a lorry has a mass of 12000kg if the mass of the blocks is three times that of the empty lorry.

To Find: find the mass of the blocks carried by the lorry

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❒ Let the mass of empty lorry be x and the mass of the bricks be 3x

 \\

{ \underline{ \bf{ \bigstar \: According \: to \: the \: question : }}}

  • The mass of the lorry when loaded with the bricks equals 12000kg

 \\

{ \underline{ \frak{As \:  we  \: know \:  that  \dag}}}

  • The mass of loaded lorry = mass of bricks + mass of empty lorry

 \\

Here,

  • Mass of loaded lorry = 12000kg
  • Mass of bricks = 3x
  • Mass of empty lorry = x

 \\

{ \underline{ \bf{ \bigstar \: Substituting \: the \: values \:  we \:  get \: : }}}

\\{ : \implies} \sf \: Mass _{(loaded \: lorry)} =  \: Mass _{(bricks)}  + Mass _{(empty \: lorry)} \\  \\  \\  \\ { : \implies} \sf \: 12000kg = 3x + x\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \\ { : \implies} \sf12000kg = 4x\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \\ { : \implies} \sf \: x =   \cancel\frac{12000}{4} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\  \\ { : \implies} {\pink{ \underline{ \boxed{ \pmb{ \frak{x = 3000kg}}}} \star}}\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

  • Hence the mass of the empty lot is 300kg

Now,

  • Let's find the mass of the blocks

We know,

  • Mass of the blocks = 3x

Substituting we get,

{ \purple{ \mapsto}} \tt \: Mass \: of \: blocks = 3x = 3(3000) = 9000kg

Hence:

  • The mass of the blocks = 9000kg

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