SOLUTION: good evening Three business partners, A, B and C, share the profits as follows: The ratio of A’s share to B’s share is 6:5 and the ratio of B’s share to C’s share is

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Question 1169242: good evening
Three business partners, A, B and C, share the profits as follows:
The ratio of A’s share to B’s share is 6:5 and the ratio of B’s share to C’s share is 3:4. Determine;
1 A’s share: B’s share: C’s Share.
2 the total profit if A gets $5000 less than C.
Answer by greenestamps(13198) About Me  (Show Source):
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Given:
A:B = 6:5
B:C = 3:4

(1) Rewrite both ratios as equivalent ratios in which the B numbers are the same:
A:B = 18:15
B:C = 15:20

(2) Write a single ratio relating all three numbers:
A:B:C = 18:15:20

There are a total of 18+15+20 = 53 equal parts, so
(1) A's share is 18/53; B's share is 15/53; C's share is 20/53

The difference between A's share and B's share is 20/53-18/53 = 2/53 of the total.

(2) If that difference is $5000, then 1/53 of the total is $2500. Then the total profit is 53 times $2500 = $132,500.