Question

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.

Answer 1

Answer:

9000 kg.

Step-by-step explanation:

Let wieght of lorry be x.

Weight of bricks = 3x

Then x+3x=12000

4x=12000

x=3000

3x=9000

The bricks weigh 9000 kg.

Hope it helps you.

Answer 2

$\huge{\underbrace{\bold{\red{\sf{Given\::}}}}}$

• $\sf{Mass\:=\:12000\:kg}$
• $\sf{Let\:the\:mass\:of\:empty\:lorry\:be\:x}$
• $\sf{Then,\:the\:mass\:of\:block\:be\:3x}$

${ }$

$\huge{\underbrace{\bold{\red{\sf{Find\::}}}}}$

• $\sf{Mass\:of\:the\:blocks}$

${ }$

$\huge{\underbrace{\bold{\red{\sf{Solution\::}}}}}$

$\bf{\green{\bold{A/Q,}}}$

${ }$

$\:\:\:\:\:\:\:\:\:\:\leadsto{\sf{x\:+\:3x\:=\:12000}}$

$\:\:\:\:\:\:\:\:\:\:\leadsto{\sf{4x\:=\:12000}}$

$\:\:\:\:\:\:\:\:\:\:\leadsto{\sf{x\:=\:{\frac{12000}{4}}}}$

$\:\:\:\:\:\:\:\:\:\:\leadsto{\sf{x\:=\:3000}}$

${ }$

• $\therefore{\bf{Mass\:of\:blocks\:-}}$

$\:\:\:\:\:\:\:\:\:\:\Rsh\sf{3x}$

$\:\:\:\:\:\:\:\:\:\:\Rsh\sf{3\:\times\:3000}$

$\:\:\:\:\:\:\:\:\:\:\Rsh\sf{9000\:kg}$

${ }$

• $\therefore\:{\underline{\sf{\small{Hence,\:the\:mass\:of\:blocks\:is\:{\bold{9000\:kg}}}}}}.$