Answer:
$120 : $50 : $200
Step-by-step explanation:
The ratio of the 3 parts can be expressed as
3x : [tex]\frac{5}{4}[/tex] x : 5x
Summing the 3 parts and equating to 370
3x + [tex]\frac{5}{4}[/tex] 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
[tex]\frac{5}{4}[/tex] x = [tex]\frac{5}{4}[/tex] × 40 = $50
5x = 5 × 40 = $200
