A container contains some pomegranates, kiwis and lemons. 0.2 of the pomegranates is equal to 80% of the kiwis. The number of lemons is ¹₃ of the total number of kiwis and pomegranates. If there are 14 more lemons than kiwis, how many fruits are there in the container altogether?

Pomegranates	Kiwis	Lemons
4x3	1x3
3x5		1x5
12 u	3 u	5 u

0.2 = ²₁₀= ¹₅
80% = ⁸⁰₁₀₀ = ⁴₅

0.2 of the pomegranates is equal to 80% of the kiwis. Make the numerators the same.  LCM of 1 and 4 is 4.

1x45x4 of the pomegranates = 4x15x1 of the kiwis
420 of the pomegranates = 45 of the kiwis 

Pomegranates : Kiwis
20 : 5 _(÷5)
4 : 1

The total number of pomegranates and kiwis is repeated.  Make the total number of pomegranates and kiwis the same.  LCM of 5 and 3 is 15.

Number of more lemons than kiwis
= 5 u - 3 u
= 2 u

2 u = 14

1 u = 14 ÷ 2 = 7

Number of the fruits in the container altogether
= 12 u + 3 u + 5 u
= 20 u
= 20 x 7
= 140

Answer(s): 140