divide $40 between harry and sally in the ratio 5:3

Question

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Answer 1

Ratios are written as a:b.  This is the fraction a/b, usually already reduced.  For some value of x, there are a*x of the first kind and b*x of the second kind; thus, the ratio is a:b.

 

The total number is a+b.

 

In this problem a*x + b*x = $40.  Or, (a+b)*x = $40.

   Or, (5+3)x = $40. Or, 8x = $40.  So. x=$5.

The groups have the ratio 5:3, or 5x:3x, or $25:$15.

Answer 2

Divide 40 by 8 giving you 5

 

5*5 = 25 & 5*3 = 15

 

harry gets $25 and Sally $15