SOLUTION: £120 was divided up and given to Alice, Ben and Charlie in the ratio 2:5:8. How much did each of them receive?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: £120 was divided up and given to Alice, Ben and Charlie in the ratio 2:5:8. How much did each of them receive?       Log On


   



Question 1071273: £120 was divided up and given to Alice, Ben and Charlie in the ratio 2:5:8. How much did each of them receive?
Found 2 solutions by ikleyn, addingup:
Answer by ikleyn(52884) About Me  (Show Source):
You can put this solution on YOUR website!
.
£120 was divided up and given to Alice, Ben and Charlie in the ratio 2:5:8. How much did each of them receive?
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This phrase "£120 was divided up and given to Alice, Ben and Charlie in the ratio 2:5:8" means that the entire sum was divided

into 2 + 5 + 8 = 15 equal parts of 120%2F15 = £8 each,  and

Alice   was given 2*8 = £16,

  Ben   was given 5*8 = £40,   and

Charlie was given 8*8 = £64.

Solved.



Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
2+5+8 = 15 out of every 15, Alice got 2, Ben 5, and Charlie 8.
How many times does 15 go into 120?: 120/15 = 8
So, we have 8 groups. Now break them down:
Alice: 2*8 = 16
Ben: 5*8 = 40
Charlie: 8*8 = 64
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Check:
16+40+64 = 120 Correct.
:
John