At a shop, the ratio of apricots to coconuts was 5 : 9. After Linda bought two-fifths of the coconuts, there was a total of 364 apricots and coconuts left at the shop. How many fruits were there at first?
| |
Apricots |
Coconuts |
Total |
Comparing apricots
and coconuts at first |
5x5 =
25 u |
9x5 =
45 u |
70 u |
Before |
|
5x9 =
45 u |
|
Change |
|
- 2x9 =
- 18 u |
|
After |
25 u |
3x9 =
27 u |
364 |
The number of coconuts at first is repeated. Make the number of coconuts at first the same. LCM of 9 and 5 is 45.
Total number of fruits left
= 25 u + 27 u
= 52 u
52 u = 364
1 u = 364 ÷ 52 = 7
Number of fruits at first
= 25 u + 45 u
= 70 u
= 70 x 7
= 490
Answer(s): 490
