A box contains some starfruits, persimmons and oranges. 0.8 of the starfruits is equal to 70% of the persimmons. The number of oranges is
57 of the total number of persimmons and starfruits. If there are 190 more oranges than persimmons, how many fruits are there in the box altogether?
Starfruits |
Persimmons |
Oranges |
7x7 |
8x7 |
|
7x15 |
5x15 |
49 u |
56 u |
75 u |
0.8 =
810=
45 70% =
70100 =
710 0.8 of the starfruits is equal to 70% of the persimmons. Make the numerators the same. LCM of 4 and 7 is 28.
4x75x7 of the starfruits =
7x410x4 of the persimmons
2835 of the starfruits =
2840 of the persimmons
Starfruits : Persimmons
35 : 40
(÷5)
7 : 8
The total number of starfruits and persimmons is repeated. Make the total number of starfruits and persimmons the same. LCM of 15 and 7 is 105.
Number of more oranges than persimmons
= 75 u - 56 u
= 19 u
19 u = 190
1 u = 190 ÷ 19 = 10
Number of the fruits in the box altogether
= 49 u + 56 u + 75 u
= 180 u
= 180 x 10
= 1800
Answer(s): 1800