A container contains some mangoes, starfruits and lemons. 0.8 of the mangoes is equal to 70% of the starfruits. The number of lemons is ⁴₅ of the total number of starfruits and mangoes. If there are 24 more lemons than starfruits, how many fruits are there in the container altogether?

Mangoes	Starfruits	Lemons
7x1	8x1
5x3		4x3
7 u	8 u	12 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

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

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

The total number of mangoes and starfruits is repeated.  Make the total number of mangoes and starfruits the same.  LCM of 15 and 5 is 15.

Number of more lemons than starfruits
= 12 u - 8 u
= 4 u

4 u = 24

1 u = 24 ÷ 4 = 6

Number of the fruits in the container altogether
= 7 u + 8 u + 12 u
= 27 u
= 27 x 6
= 162

Answer(s): 162