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The difficulty here is to adapt words into an equation.

Let’s say x=the number of rows at the beginning
Therefore we have:

Number total of booths at the beginning = 30x 

Number total of booths after Mr. Yahya brought more = 30x + 16

Then we know according to the wording:

30x+16=23(x+8)  // (x+8) equals to the new number of rows

Then it’s just a simple equation to solve

    30x = 23x + 184 – 16

    7x= 168

      x= 24

At first, there were 24 rows in the exhibition. 🙂

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If not using algebra, but to explain below if the child can understand the scenario:

there are now 8 more rows of 23 booths = 8 x 23 = 184 booths.

Of which 16 booths are the “extras brought  in” and 

And the other booths (184-16=168) came from the “pulled-out 7 booths per row”.  (30-23=7)

168/7 = 24 (original) rows at first.

 

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  No. of rows No. of booths  per row Total no. of booths
Before 1 unit 30 30 units
After 1 unit + 8 23 23 units + 184

Since 16 booths were added,

30 units = 23 units + 184 – 16
30 units – 23 units = 168
7 units = 168
1 unit = 24 rows at first

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Thank you 😊

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