Question

Divide $370 into three parts such that second part is 1/4 of the third part and the ratio between the first and the third part is 3:5. Find each part.

Answer 1

$120 : $50 : $200

Explanation:

The ratio of the 3 parts can be expressed as

3x :
`(5)/(4)` x : 5x

Summing the 3 parts and equating to 370

3x +
`(5)/(4)` x + 5x = 370

Multiply through by 4 to clear the fraction

12x + 5x + 20x = 1480, that is

37x = 1480 ( divide both sides by 37 )

x = 40

Thus the 3 parts are

3x = 3 × 40 = $120

`(5)/(4)` x =
`(5)/(4)` × 40 = $50

5x = 5 × 40 = $200