Pearl Sales

Algebra Level 1

A salesman sold twice as many pears in the afternoon than in the morning. If he sold 360 kilograms of pears that day, how many kilograms did he sell in the morning, and how many in the afternoon?

155 and 360 120 and 240 260 and 150

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4 solutions

Kumudesh Ghosh
May 26, 2020

It's actually really simple.

  • Take the number of pears sold in the morning as x x

  • So, the number of pears sold in the afternoon will be 2 x x (since it is said that "twice as many")

  • Now, as we know the total number of pears sold (360), we can form a linear equation: x x +2 x x =360

=> 3 x x =360

=> x x = 360 3 \frac{360}{3}

=> x x =120

Now we can easily find out the numbers of pears:

In the morning = x x = 120

In the afternoon = 2 x x = 120 x 2 = 240

Hope this helped!

Mahdi Raza
May 26, 2020

It’s simple. Let the pearls sold in morning be x x . Then, the pearls sold in afternoon will be 2 x 2x

x + 2 x = 360 3 x = 360 x = 120 \begin{aligned}x + 2x &= 360 \\ 3x &=360 \\ x &= \boxed{120} \end{aligned}

Thus he sold 120 pearls in the morning and 240 in the afternoon

You can solve using linear equations, but only 120 \boxed{120} and 240 \boxed{240} add up to 360 \boxed{360} . :)

A very smart solution indeed:)

GREAT SOLUTIONS INDEED

Aseda Nartey - 1 year ago
Aseda Nartey
May 26, 2020

I am not adding an explanation, but I want to see who can. :)

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