A container contains some starfruits, kiwis and oranges. 0.2 of the starfruits is equal to 40% of the kiwis. The number of oranges is
56 of the total number of kiwis and starfruits. If there are 15 more oranges than kiwis, how many fruits are there in the container altogether?
Starfruits |
Kiwis |
Oranges |
2x2 |
1x2 |
|
6x1 |
5x1 |
4 u |
2 u |
5 u |
0.2 =
210=
15 40% =
40100 =
25 0.2 of the starfruits is equal to 40% of the kiwis. Make the numerators the same. LCM of 1 and 2 is 2.
1x25x2 of the starfruits =
2x15x1 of the kiwis
210 of the starfruits =
25 of the kiwis
Starfruits : Kiwis
10 : 5
(÷5)
2 : 1
The total number of starfruits and kiwis is repeated. Make the total number of starfruits and kiwis the same. LCM of 3 and 6 is 6.
Number of more oranges than kiwis
= 5 u - 2 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of the fruits in the container altogether
= 4 u + 2 u + 5 u
= 11 u
= 11 x 5
= 55
Answer(s): 55