There were some lemons, mangosteens and oranges. The number of lemons was four times the number of mangosteens. The total number of lemons and mangosteens was one-quarter of the number of oranges. There were 150 fruits altogether. All the oranges were sold at 5 for $13. How much money was collected from the sale of the oranges?
Number of mangosteens = 1 u
Number of lemons = 4 u

Total number of mangosteens and lemons
= 1 u + 4 u
= 5 u

Number of oranges
= 4 x 5 u
= 20 u

Total number of fruits
= 1 u + 4 u + 20 u
= 25 u

25 u = 150

1 u = 150 ÷ 25 = 6

Number of oranges sold
= 20 u
= 20 x 6
= 120

Number of sets of 5 oranges
= 120 ÷ 5
= 24

Amount collected from the sale of oranges
= 24 x 13
= $312

Answer(s): $312