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?

Whayousayy Jun 21, 2022

#1**+1 **

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

CPhill Jun 21, 2022