There were some starfruits, persimmons and lemons. The number of starfruits was five times the number of persimmons. The total number of starfruits and persimmons was half of the number of lemons. There were 162 fruits altogether. All the lemons were sold at 6 for $13. How much money was collected from the sale of the lemons?
Number of persimmons = 1 u
Number of starfruits = 5 u

Total number of persimmons and starfruits
= 1 u + 5 u
= 6 u

Number of lemons
= 2 x 6 u
= 12 u

Total number of fruits
= 1 u + 5 u + 12 u
= 18 u

18 u = 162

1 u = 162 ÷ 18 = 9

Number of lemons sold
= 12 u
= 12 x 9
= 108

Number of sets of 6 lemons
= 108 ÷ 6
= 18

Amount collected from the sale of lemons
= 18 x 13
= $234

Answer(s): $234