A box contains some mangosteens, kiwis and lemons. 0.8 of the mangosteens is equal to 70% of the kiwis. The number of lemons is ⁵₇ of the total number of kiwis and mangosteens. If there are 133 more lemons than kiwis, how many fruits are there in the box altogether?

Mangosteens	Kiwis	Lemons
7x7	8x7
7x15		5x15
49 u	56 u	75 u

0.8 = ⁸₁₀= ⁴₅
70% = ⁷⁰₁₀₀ = ⁷₁₀

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

4x75x7 of the mangosteens = 7x410x4 of the kiwis
2835 of the mangosteens = 2840 of the kiwis 

Mangosteens : Kiwis
35 : 40 _(÷5)
7 : 8

The total number of mangosteens and kiwis is repeated.  Make the total number of mangosteens and kiwis the same.  LCM of 15 and 7 is 105.

Number of more lemons than kiwis
= 75 u - 56 u
= 19 u

19 u = 133

1 u = 133 ÷ 19 = 7

Number of the fruits in the box altogether
= 49 u + 56 u + 75 u
= 180 u
= 180 x 7
= 1260

Answer(s): 1260