9514 1404 393
Answer:
40 : 110
Step-by-step explanation:
There are a number of ways you can go at this. One of my favorite is to consider the value of a "ratio unit." Here, a total of 4+11 = 15 "ratio units" represent the total to be divided: 150. So the value of each one is ...
150/15 = 10
Then the division is ...
4 : 11 = 10·4 : 10·11 = 40 : 110
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Alternate solution
Let x represent the larger share. Then the ratio is ...
(150 -x) : x = 4 : 11
Cross-multiplying gives ...
11(150 -x) = 4x
1650 = 15x . . . . . add 11x, simplify
110 = x . . . . . . . . . divide by 15; the larger share
150-x = 150-110 = 40 . . . . . . the smaller share
The division is 40 : 110.
