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Tom and Dan were given some sweets. At first, Tom took 8/9 of the sweets. When he gave Dan 42 sweets, the number of sweets they had became equal. How many sweets were they given in all?

 Sep 15, 2021
edited by Guest  Sep 15, 2021
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sorry i don't know how to do LaTeX

 

First, I will multiply the top and bottom of the fraction 8/9 so the bottom is even.

If Tom originally had 8/9 of the sweets and gave away 42 to make it equal, that shows that 42 sweets is exactly 7/18 of the total. We can then create the equation with x being the total sweets they were given:

 

x * 7/18 = 42

 

dividing each side by 7, we get

 

x/18 = 6

 

so we can multiply each side by 18 to get

 

x = 108

 

 

:)

 Sep 15, 2021

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