A container contains some starfruits, lemons and mangoes. 0.8 of the starfruits is equal to 70% of the lemons. The number of mangoes is ³₄ of the total number of lemons and starfruits. If there are 130 less lemons than mangoes, how many fruits are there in the container altogether?

Starfruits	Lemons	Mangoes
7x4	8x4
4x15		3x15
28 u	32 u	45 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

0.8 of the starfruits is equal to 70% of the lemons. Make the numerators the same.  LCM of 4 and 7 is 28.

4x75x7 of the starfruits = 7x410x4 of the lemons
2835 of the starfruits = 2840 of the lemons 

Starfruits : Lemons
35 : 40 _(÷5)
7 : 8

The total number of starfruits and lemons is repeated.  Make the total number of starfruits and lemons the same.  LCM of 15 and 4 is 60.

Number of less lemons than mangoes
= 45 u - 32 u
= 13 u

13 u = 130

1 u = 130 ÷ 13 = 10

Number of the fruits in the container altogether
= 28 u + 32 u + 45 u
= 105 u
= 105 x 10
= 1050

Answer(s): 1050