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James made some chairs and tables in the ratio of 4:7. He gave 1/5 of the chairs to Dave and 2/3 of the tables to Roy. What was the ratio of the number of the tables to the number of chairs given away?

 Oct 1, 2021
 #1
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Are you like trying to do a test and you have a time limit?

 Oct 1, 2021
 #2
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It's not a test

KINGVONOTF  Oct 1, 2021
 #3
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It's not homework, its just a question i need help.

KINGVONOTF  Oct 1, 2021
 #4
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c/t = 4/7   

 

 

gave away 1/5c    and 2/3 t

 

1/5 ( 4) / ((2/3)(7)

4/5  /  14/3

12 / 70   = 6:35      is  C:T       T:C = 35:6

 Oct 1, 2021
edited by ElectricPavlov  Oct 1, 2021
edited by ElectricPavlov  Oct 1, 2021
 #5
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C : 7

4 : 7

=> 60 : 105 ( multiply by LCM of 3,5)

Given away : 1/5 * 60 = 12 of chairs

                      2/3 * 105 = 70 of tables

Therefore  :   Ratio is = 12 : 70

                                   = 6 : 35

 Oct 1, 2021
 #6
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12/70 = 6 : 35

 Oct 1, 2021

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