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There were a total of 162 tables and benches in a school field. There were 2 times as many benches as tables. After 18 benches and some tables were removed, there were 5 times as many benches as tables left. How many tables were removed from the school field?

 Apr 3, 2022
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Let the number of tables==T

Then the number of benches ==2T

 

T + 2T ==162

3T == 162

T ==162 / 3 ==54 tables

54  x  2 ==108 benches.

 

[108 - 18] / [54 - t] =5*B / B, solve for t

 

t==36 tables were removed.

 

Check: [108 - 18] / [54 - 36]==90 / 18 ==5 times as many benches as tables left.

 Apr 4, 2022

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