There were some oranges, mangosteens and persimmons. The number of oranges was three times the number of mangosteens. The total number of oranges and mangosteens was one-third of the number of persimmons. There were 160 fruits altogether. All the persimmons were sold at 6 for $15. How much money was collected from the sale of the persimmons?
Number of mangosteens = 1 u
Number of oranges = 3 u

Total number of mangosteens and oranges
= 1 u + 3 u
= 4 u

Number of persimmons
= 3 x 4 u
= 12 u

Total number of fruits
= 1 u + 3 u + 12 u
= 16 u

16 u = 160

1 u = 160 ÷ 16 = 10

Number of persimmons sold
= 12 u
= 12 x 10
= 120

Number of sets of 6 persimmons
= 120 ÷ 6
= 20

Amount collected from the sale of persimmons
= 20 x 15
= $300

Answer(s): $300