A container contains some mangosteens, apples and lemons. 0.8 of the mangosteens is equal to 30% of the apples. The number of lemons is ⁵₆ of the total number of apples and mangosteens. If there are 77 more lemons than apples, how many fruits are there in the container altogether?

Mangosteens	Apples	Lemons
3x6	8x6
6x11		5x11
18 u	48 u	55 u

0.8 = ⁸₁₀= ⁴₅
30% = ³⁰₁₀₀ = ³₁₀

0.8 of the mangosteens is equal to 30% of the apples. Make the numerators the same.  LCM of 4 and 3 is 12.

4x35x3 of the mangosteens = 3x410x4 of the apples
1215 of the mangosteens = 1240 of the apples 

Mangosteens : Apples
15 : 40 _(÷5)
3 : 8

The total number of mangosteens and apples is repeated.  Make the total number of mangosteens and apples the same.  LCM of 11 and 6 is 66.

Number of more lemons than apples
= 55 u - 48 u
= 7 u

7 u = 77

1 u = 77 ÷ 7 = 11

Number of the fruits in the container altogether
= 18 u + 48 u + 55 u
= 121 u
= 121 x 11
= 1331

Answer(s): 1331