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Andy, Ben and Calvin had a total of 840 sweets. The ratio of the number of sweets Ben had to the number of sweets Calvin had was 1:4. After Andy and Ben each gave away 1/2 of their sweets, the three children had 620 sweets left. How many sweets did Ben have at first?

 Jun 21, 2022
 #1
avatar+124676 
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Let Ben begin with N sweets

Then Calvin had  4N sweets

And Andy had   840  - N  - 4N  =  840   - 5N sweets

 

When Andy and Ben each give away (1/2)  of theirs we have

 

N / 2  +  (840 - 5N)/2 +  4N =   620

 

N / 2  + 420 - (5/2)N + 4N  =  620

 

420 + 2N  =  620

 

2N  = 620  - 420

 

2N =  200

 

N = 100 =  the number that Ben had at first

 

 

cool cool cool

 Jun 21, 2022

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