A container contains some kiwis, lemons and starfruits. 0.2 of the kiwis is equal to 80% of the lemons. The number of starfruits is
57 of the total number of lemons and kiwis. If there are 144 less lemons than starfruits, how many fruits are there in the container altogether?
Kiwis |
Lemons |
Starfruits |
4x7 |
1x7 |
|
7x5 |
5x5 |
28 u |
7 u |
25 u |
0.2 =
210=
15 80% =
80100 =
45 0.2 of the kiwis is equal to 80% of the lemons. Make the numerators the same. LCM of 1 and 4 is 4.
1x45x4 of the kiwis =
4x15x1 of the lemons
420 of the kiwis =
45 of the lemons
Kiwis : Lemons
20 : 5
(÷5)
4 : 1
The total number of kiwis and lemons is repeated. Make the total number of kiwis and lemons the same. LCM of 5 and 7 is 35.
Number of less lemons than starfruits
= 25 u - 7 u
= 18 u
18 u = 144
1 u = 144 ÷ 18 = 8
Number of the fruits in the container altogether
= 28 u + 7 u + 25 u
= 60 u
= 60 x 8
= 480
Answer(s): 480