A container contains some passion fruits, lemons and mangosteens. 0.6 of the passion fruits is equal to 70% of the lemons. The number of mangosteens is ⁵₆ of the total number of lemons and passion fruits. If there are 203 more mangosteens than lemons, how many fruits are there in the container altogether?

Passion Fruits	Lemons	Mangosteens
7x6	6x6
6x13		5x13
42 u	36 u	65 u

0.6 = ⁶₁₀= ³₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.6 of the passion fruits is equal to 70% of the lemons. Make the numerators the same.  LCM of 3 and 7 is 21.

3x75x7 of the passion fruits = 7x310x3 of the lemons
2135 of the passion fruits = 2130 of the lemons 

Passion Fruits : Lemons
35 : 30 _(÷5)
7 : 6

The total number of passion fruits and lemons is repeated.  Make the total number of passion fruits and lemons the same.  LCM of 13 and 6 is 78.

Number of more mangosteens than lemons
= 65 u - 36 u
= 29 u

29 u = 203

1 u = 203 ÷ 29 = 7

Number of the fruits in the container altogether
= 42 u + 36 u + 65 u
= 143 u
= 143 x 7
= 1001

Answer(s): 1001