Three girls had 144 sweets altogether.Amy gave some of her sweets to Bella and Bella’s sweets were doubled.Then,Bella gave some of her sweets to Cindy and Cindy’s sweets were doubled.As a result,the three had an equal number of sweets each.How many sweets did Bella have at first?
How to tackle this question?
Think working backwards is easier as finally all 3 of them has same equal number of sweets meaning
Finally , each has 144/3=48 sweets
Cindy sweets were doubled after receiving some sweet from Bella
So Cindy has 48/2=24 sweets before receving 24 sweets from Bella
And Bella has 48+24=72 sweets before giving to Cindy
So Bella originally has 72/2=36 sweets
sushi88
Working backwards, Total = 144 => Each has 144/3 = 48 in the end.
Cindy has doubled after Belle gave her some sweets => Cindy was 24 and given 24
Belle has 48 + 24 = 72 and halving this is Belle’s original = 72/2 = 36.
Check:
Amy [ 48 ][ 36 ] Original = 84
Belle [36+36-24 =48] Original = 36
Cindy [ 24 + 24 = 48 ] Original = 24
Total = 84 + 36 + 24 = 144
