210k views
1 vote
Divide 581 among three children in the ratio 1 1/4 : 1 1/3 : 7/8

User Lesbaa
by
8.3k points

1 Answer

3 votes

Answer:

210 : 224 : 147

Explanation:

You want to divide 581 into three parts in the ratio 1 1/4 : 1 1/3 : 7/8.

Sum

The sum of the parts is ...

1 1/4 +1 1/3 +7/8 = 10/8 + 4/3 + 7/8 = 17/8 +4/3 = (51 +32)/24 = 83/24

Scale factor

Multiplying the ratio values by (581/(83/24)) = 168 will give the desired values.

  • 168 × 1 1/4 = 210
  • 168 × 1 1/3 = 224
  • 168 × 7/8 = 147

The desired division is 210 : 224 : 147.

__

Additional comment

The values {30, 32, 21} seen in the attached calculator image are the result of multiplying the ratio by its least common denominator, 24.

<95141404393>

Divide 581 among three children in the ratio 1 1/4 : 1 1/3 : 7/8-example-1
User Matthew Lund
by
8.6k points