Answered

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150 into the ratio 4:11

Sagot :

sqdancefan

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

_____

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.

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