SOLUTION: Hi 1/2 of the sweets in box a were equal to 3/8 of the sweets in box b. 240 sweets from box b were taken out and box a had 3 times as many sweets as box b. what the total numb

Question 1100257: Hi
1/2 of the sweets in box a were equal to 3/8 of the sweets in box b.
240 sweets from box b were taken out and box a had 3 times as many sweets as box b.
what the total number of sweets in both boxes at first.
How many sweets would have to be taken out from box a so that there would be 1/4 as many sweets in box a as in box b.
thank s
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a/2=3b/8
a=3*(b-240)
a/2=3b/8
3*(b-240)/2=3b/8
(b-240)/2=b/8
b-240=b/4
4*b-4*240=b
3*b=4*240
b=4*80
b=320
a=3*(b-240)
a=3*(320-240)
a=3*(80)
a=240
check
remove 240 from 320 in box b is 80
box a now has 240 and box b 80
240 is three times 80
This second question is unclear. After or before the 240 are removed?
How many sweets would have to be taken out from box a so that there would be 1/4 as many sweets in box a as in box b.

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