There were some pears, passion fruits and mangosteens. The number of pears was two times the number of passion fruits. The total number of pears and passion fruits was one-quarter of the number of mangosteens. There were 165 fruits altogether. All the mangosteens were sold at 4 for $15. How much money was collected from the sale of the mangosteens?
Number of passion fruits = 1 u
Number of pears = 2 u

Total number of passion fruits and pears
= 1 u + 2 u
= 3 u

Number of mangosteens
= 4 x 3 u
= 12 u

Total number of fruits
= 1 u + 2 u + 12 u
= 15 u

15 u = 165

1 u = 165 ÷ 15 = 11

Number of mangosteens sold
= 12 u
= 12 x 11
= 132

Number of sets of 4 mangosteens
= 132 ÷ 4
= 33

Amount collected from the sale of mangosteens
= 33 x 15
= $495

Answer(s): $495